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Finding the Fourth Proportional to 3,747.90, 5,162.94 and 3,215.04

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Solution

The fourth proportional to 3,747.90, 5,162.94 and 3,215.04 is: 4,428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.90 : 5,162.94 = 3,215.04 : x
  2. Step 2: Convert to fraction form
    3,747.90/5,162.94 = 3,215.04/x
  3. Step 3: Cross multiply
    3,747.90x = 5,162.94 × 3,215.04
  4. Step 4: Simplify right side
    3,747.90x = 16,599,058.62
  5. Step 5: Solve for x
    x = 16,599,058.62/3,747.90
  6. Step 6: Final answer
    x = 4,428.90

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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.