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Finding the Fourth Proportional to 3,915.39, 5,875.17 and 1,725.66

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Solution

The fourth proportional to 3,915.39, 5,875.17 and 1,725.66 is: 2,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.39 : 5,875.17 = 1,725.66 : x
  2. Step 2: Convert to fraction form
    3,915.39/5,875.17 = 1,725.66/x
  3. Step 3: Cross multiply
    3,915.39x = 5,875.17 × 1,725.66
  4. Step 4: Simplify right side
    3,915.39x = 10,138,545.86
  5. Step 5: Solve for x
    x = 10,138,545.86/3,915.39
  6. Step 6: Final answer
    x = 2,589.41

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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.