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Finding the Fourth Proportional to 3,931.38, 5,896.40 and 3,714.50

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Solution

The fourth proportional to 3,931.38, 5,896.40 and 3,714.50 is: 5,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.38 : 5,896.40 = 3,714.50 : x
  2. Step 2: Convert to fraction form
    3,931.38/5,896.40 = 3,714.50/x
  3. Step 3: Cross multiply
    3,931.38x = 5,896.40 × 3,714.50
  4. Step 4: Simplify right side
    3,931.38x = 21,902,177.80
  5. Step 5: Solve for x
    x = 21,902,177.80/3,931.38
  6. Step 6: Final answer
    x = 5,571.12

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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.