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Finding the Fourth Proportional to 3,931.65, 5,897.49 and 3,734.57

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Solution

The fourth proportional to 3,931.65, 5,897.49 and 3,734.57 is: 5,601.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.65 : 5,897.49 = 3,734.57 : x
  2. Step 2: Convert to fraction form
    3,931.65/5,897.49 = 3,734.57/x
  3. Step 3: Cross multiply
    3,931.65x = 5,897.49 × 3,734.57
  4. Step 4: Simplify right side
    3,931.65x = 22,024,589.23
  5. Step 5: Solve for x
    x = 22,024,589.23/3,931.65
  6. Step 6: Final answer
    x = 5,601.87

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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.