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Finding the Fourth Proportional to 3,443.67, 5,158.57 and 1,592.24

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Solution

The fourth proportional to 3,443.67, 5,158.57 and 1,592.24 is: 2,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.67 : 5,158.57 = 1,592.24 : x
  2. Step 2: Convert to fraction form
    3,443.67/5,158.57 = 1,592.24/x
  3. Step 3: Cross multiply
    3,443.67x = 5,158.57 × 1,592.24
  4. Step 4: Simplify right side
    3,443.67x = 8,213,655.70
  5. Step 5: Solve for x
    x = 8,213,655.70/3,443.67
  6. Step 6: Final answer
    x = 2,385.15

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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.