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Finding the Fourth Proportional to 3,545.70, 5,309.97 and 3,022.71

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Solution

The fourth proportional to 3,545.70, 5,309.97 and 3,022.71 is: 4,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.70 : 5,309.97 = 3,022.71 : x
  2. Step 2: Convert to fraction form
    3,545.70/5,309.97 = 3,022.71/x
  3. Step 3: Cross multiply
    3,545.70x = 5,309.97 × 3,022.71
  4. Step 4: Simplify right side
    3,545.70x = 16,050,499.42
  5. Step 5: Solve for x
    x = 16,050,499.42/3,545.70
  6. Step 6: Final answer
    x = 4,526.75

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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.