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Finding the Fourth Proportional to 5,714.38, 7,885.74 and 3,230.38

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Solution

The fourth proportional to 5,714.38, 7,885.74 and 3,230.38 is: 4,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.38 : 7,885.74 = 3,230.38 : x
  2. Step 2: Convert to fraction form
    5,714.38/7,885.74 = 3,230.38/x
  3. Step 3: Cross multiply
    5,714.38x = 7,885.74 × 3,230.38
  4. Step 4: Simplify right side
    5,714.38x = 25,473,936.78
  5. Step 5: Solve for x
    x = 25,473,936.78/5,714.38
  6. Step 6: Final answer
    x = 4,457.87

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.