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Finding the Fourth Proportional to 3,439.57, 5,160.22 and 1,592.01

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Solution

The fourth proportional to 3,439.57, 5,160.22 and 1,592.01 is: 2,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.57 : 5,160.22 = 1,592.01 : x
  2. Step 2: Convert to fraction form
    3,439.57/5,160.22 = 1,592.01/x
  3. Step 3: Cross multiply
    3,439.57x = 5,160.22 × 1,592.01
  4. Step 4: Simplify right side
    3,439.57x = 8,215,121.84
  5. Step 5: Solve for x
    x = 8,215,121.84/3,439.57
  6. Step 6: Final answer
    x = 2,388.42

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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.