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Finding the Fourth Proportional to 3,865.69, 5,796.01 and 2,545.45

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Solution

The fourth proportional to 3,865.69, 5,796.01 and 2,545.45 is: 3,816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.69 : 5,796.01 = 2,545.45 : x
  2. Step 2: Convert to fraction form
    3,865.69/5,796.01 = 2,545.45/x
  3. Step 3: Cross multiply
    3,865.69x = 5,796.01 × 2,545.45
  4. Step 4: Simplify right side
    3,865.69x = 14,753,453.65
  5. Step 5: Solve for x
    x = 14,753,453.65/3,865.69
  6. Step 6: Final answer
    x = 3,816.51

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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.