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Finding the Fourth Proportional to 3,793.20, 5,686.81 and 2,545.05

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Solution

The fourth proportional to 3,793.20, 5,686.81 and 2,545.05 is: 3,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.20 : 5,686.81 = 2,545.05 : x
  2. Step 2: Convert to fraction form
    3,793.20/5,686.81 = 2,545.05/x
  3. Step 3: Cross multiply
    3,793.20x = 5,686.81 × 2,545.05
  4. Step 4: Simplify right side
    3,793.20x = 14,473,230.75
  5. Step 5: Solve for x
    x = 14,473,230.75/3,793.20
  6. Step 6: Final answer
    x = 3,815.58

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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.