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Finding the Fourth Proportional to 3,711.27, 5,566.03 and 1,078.08

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Solution

The fourth proportional to 3,711.27, 5,566.03 and 1,078.08 is: 1,616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.27 : 5,566.03 = 1,078.08 : x
  2. Step 2: Convert to fraction form
    3,711.27/5,566.03 = 1,078.08/x
  3. Step 3: Cross multiply
    3,711.27x = 5,566.03 × 1,078.08
  4. Step 4: Simplify right side
    3,711.27x = 6,000,625.62
  5. Step 5: Solve for x
    x = 6,000,625.62/3,711.27
  6. Step 6: Final answer
    x = 1,616.87

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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.