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Finding the Fourth Proportional to 3,937.78, 5,423.58 and 3,642.16

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Solution

The fourth proportional to 3,937.78, 5,423.58 and 3,642.16 is: 5,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.78 : 5,423.58 = 3,642.16 : x
  2. Step 2: Convert to fraction form
    3,937.78/5,423.58 = 3,642.16/x
  3. Step 3: Cross multiply
    3,937.78x = 5,423.58 × 3,642.16
  4. Step 4: Simplify right side
    3,937.78x = 19,753,546.13
  5. Step 5: Solve for x
    x = 19,753,546.13/3,937.78
  6. Step 6: Final answer
    x = 5,016.42

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