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Finding the Fourth Proportional to 3,937.96, 5,901.67 and 3,443.16

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Solution

The fourth proportional to 3,937.96, 5,901.67 and 3,443.16 is: 5,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.96 : 5,901.67 = 3,443.16 : x
  2. Step 2: Convert to fraction form
    3,937.96/5,901.67 = 3,443.16/x
  3. Step 3: Cross multiply
    3,937.96x = 5,901.67 × 3,443.16
  4. Step 4: Simplify right side
    3,937.96x = 20,320,394.08
  5. Step 5: Solve for x
    x = 20,320,394.08/3,937.96
  6. Step 6: Final answer
    x = 5,160.13

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