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Finding the Fourth Proportional to 5,713.38, 8,565.75 and 3,114.90

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Solution

The fourth proportional to 5,713.38, 8,565.75 and 3,114.90 is: 4,669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.38 : 8,565.75 = 3,114.90 : x
  2. Step 2: Convert to fraction form
    5,713.38/8,565.75 = 3,114.90/x
  3. Step 3: Cross multiply
    5,713.38x = 8,565.75 × 3,114.90
  4. Step 4: Simplify right side
    5,713.38x = 26,681,454.68
  5. Step 5: Solve for x
    x = 26,681,454.68/5,713.38
  6. Step 6: Final answer
    x = 4,669.99

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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.