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Finding the Fourth Proportional to 3,885.17, 5,827.75 and 1,693.64

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Solution

The fourth proportional to 3,885.17, 5,827.75 and 1,693.64 is: 2,540.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.17 : 5,827.75 = 1,693.64 : x
  2. Step 2: Convert to fraction form
    3,885.17/5,827.75 = 1,693.64/x
  3. Step 3: Cross multiply
    3,885.17x = 5,827.75 × 1,693.64
  4. Step 4: Simplify right side
    3,885.17x = 9,870,120.85
  5. Step 5: Solve for x
    x = 9,870,120.85/3,885.17
  6. Step 6: Final answer
    x = 2,540.46

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.