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Finding the Fourth Proportional to 5,487.30, 8,229.60 and 1,592.01

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Solution

The fourth proportional to 5,487.30, 8,229.60 and 1,592.01 is: 2,387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.30 : 8,229.60 = 1,592.01 : x
  2. Step 2: Convert to fraction form
    5,487.30/8,229.60 = 1,592.01/x
  3. Step 3: Cross multiply
    5,487.30x = 8,229.60 × 1,592.01
  4. Step 4: Simplify right side
    5,487.30x = 13,101,605.50
  5. Step 5: Solve for x
    x = 13,101,605.50/5,487.30
  6. Step 6: Final answer
    x = 2,387.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.