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Finding the Fourth Proportional to 4,215.42, 5,817.42 and 2,446.92

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Solution

The fourth proportional to 4,215.42, 5,817.42 and 2,446.92 is: 3,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.42 : 5,817.42 = 2,446.92 : x
  2. Step 2: Convert to fraction form
    4,215.42/5,817.42 = 2,446.92/x
  3. Step 3: Cross multiply
    4,215.42x = 5,817.42 × 2,446.92
  4. Step 4: Simplify right side
    4,215.42x = 14,234,761.35
  5. Step 5: Solve for x
    x = 14,234,761.35/4,215.42
  6. Step 6: Final answer
    x = 3,376.83

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Half scale
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Double scale
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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.