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Finding the Fourth Proportional to 3,566.65, 5,351.24 and 1,592.10

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Solution

The fourth proportional to 3,566.65, 5,351.24 and 1,592.10 is: 2,388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.65 : 5,351.24 = 1,592.10 : x
  2. Step 2: Convert to fraction form
    3,566.65/5,351.24 = 1,592.10/x
  3. Step 3: Cross multiply
    3,566.65x = 5,351.24 × 1,592.10
  4. Step 4: Simplify right side
    3,566.65x = 8,519,709.20
  5. Step 5: Solve for x
    x = 8,519,709.20/3,566.65
  6. Step 6: Final answer
    x = 2,388.71

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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.