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Finding the Fourth Proportional to 5,694.76, 8,545.18 and 4,147.66

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Solution

The fourth proportional to 5,694.76, 8,545.18 and 4,147.66 is: 6,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.76 : 8,545.18 = 4,147.66 : x
  2. Step 2: Convert to fraction form
    5,694.76/8,545.18 = 4,147.66/x
  3. Step 3: Cross multiply
    5,694.76x = 8,545.18 × 4,147.66
  4. Step 4: Simplify right side
    5,694.76x = 35,442,501.28
  5. Step 5: Solve for x
    x = 35,442,501.28/5,694.76
  6. Step 6: Final answer
    x = 6,223.70

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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.