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Finding the Fourth Proportional to 3,711.26, 5,565.96 and 1,078.68

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Solution

The fourth proportional to 3,711.26, 5,565.96 and 1,078.68 is: 1,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.26 : 5,565.96 = 1,078.68 : x
  2. Step 2: Convert to fraction form
    3,711.26/5,565.96 = 1,078.68/x
  3. Step 3: Cross multiply
    3,711.26x = 5,565.96 × 1,078.68
  4. Step 4: Simplify right side
    3,711.26x = 6,003,889.73
  5. Step 5: Solve for x
    x = 6,003,889.73/3,711.26
  6. Step 6: Final answer
    x = 1,617.75

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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.