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Finding the Fourth Proportional to 3,349.70, 5,023.92 and 1,158.44

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Solution

The fourth proportional to 3,349.70, 5,023.92 and 1,158.44 is: 1,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.70 : 5,023.92 = 1,158.44 : x
  2. Step 2: Convert to fraction form
    3,349.70/5,023.92 = 1,158.44/x
  3. Step 3: Cross multiply
    3,349.70x = 5,023.92 × 1,158.44
  4. Step 4: Simplify right side
    3,349.70x = 5,819,909.88
  5. Step 5: Solve for x
    x = 5,819,909.88/3,349.70
  6. Step 6: Final answer
    x = 1,737.44

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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.