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Finding the Fourth Proportional to 5,902.71, 8,145.78 and 3,250.17

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Solution

The fourth proportional to 5,902.71, 8,145.78 and 3,250.17 is: 4,485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.71 : 8,145.78 = 3,250.17 : x
  2. Step 2: Convert to fraction form
    5,902.71/8,145.78 = 3,250.17/x
  3. Step 3: Cross multiply
    5,902.71x = 8,145.78 × 3,250.17
  4. Step 4: Simplify right side
    5,902.71x = 26,475,169.78
  5. Step 5: Solve for x
    x = 26,475,169.78/5,902.71
  6. Step 6: Final answer
    x = 4,485.26

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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.