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Finding the Fourth Proportional to 3,259.62, 4,500.23 and 2,142.43

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Solution

The fourth proportional to 3,259.62, 4,500.23 and 2,142.43 is: 2,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.62 : 4,500.23 = 2,142.43 : x
  2. Step 2: Convert to fraction form
    3,259.62/4,500.23 = 2,142.43/x
  3. Step 3: Cross multiply
    3,259.62x = 4,500.23 × 2,142.43
  4. Step 4: Simplify right side
    3,259.62x = 9,641,405.80
  5. Step 5: Solve for x
    x = 9,641,405.80/3,259.62
  6. Step 6: Final answer
    x = 2,957.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.