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Finding the Fourth Proportional to 3,566.87, 5,329.67 and 2,574.97

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Solution

The fourth proportional to 3,566.87, 5,329.67 and 2,574.97 is: 3,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.87 : 5,329.67 = 2,574.97 : x
  2. Step 2: Convert to fraction form
    3,566.87/5,329.67 = 2,574.97/x
  3. Step 3: Cross multiply
    3,566.87x = 5,329.67 × 2,574.97
  4. Step 4: Simplify right side
    3,566.87x = 13,723,744.14
  5. Step 5: Solve for x
    x = 13,723,744.14/3,566.87
  6. Step 6: Final answer
    x = 3,847.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.