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Finding the Fourth Proportional to 5,711.63, 8,565.89 and 2,013.38

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Solution

The fourth proportional to 5,711.63, 8,565.89 and 2,013.38 is: 3,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.63 : 8,565.89 = 2,013.38 : x
  2. Step 2: Convert to fraction form
    5,711.63/8,565.89 = 2,013.38/x
  3. Step 3: Cross multiply
    5,711.63x = 8,565.89 × 2,013.38
  4. Step 4: Simplify right side
    5,711.63x = 17,246,338.71
  5. Step 5: Solve for x
    x = 17,246,338.71/5,711.63
  6. Step 6: Final answer
    x = 3,019.52

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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.