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Finding the Fourth Proportional to 4,759.68, 7,141.65 and 2,565.87

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Solution

The fourth proportional to 4,759.68, 7,141.65 and 2,565.87 is: 3,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759.68 : 7,141.65 = 2,565.87 : x
  2. Step 2: Convert to fraction form
    4,759.68/7,141.65 = 2,565.87/x
  3. Step 3: Cross multiply
    4,759.68x = 7,141.65 × 2,565.87
  4. Step 4: Simplify right side
    4,759.68x = 18,324,545.49
  5. Step 5: Solve for x
    x = 18,324,545.49/4,759.68
  6. Step 6: Final answer
    x = 3,849.95

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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.