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Finding the Fourth Proportional to 3,747.36, 5,171.80 and 3,116.78

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Solution

The fourth proportional to 3,747.36, 5,171.80 and 3,116.78 is: 4,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.36 : 5,171.80 = 3,116.78 : x
  2. Step 2: Convert to fraction form
    3,747.36/5,171.80 = 3,116.78/x
  3. Step 3: Cross multiply
    3,747.36x = 5,171.80 × 3,116.78
  4. Step 4: Simplify right side
    3,747.36x = 16,119,354.39
  5. Step 5: Solve for x
    x = 16,119,354.39/3,747.36
  6. Step 6: Final answer
    x = 4,301.52

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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.