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Finding the Fourth Proportional to 3,349.64, 5,024.52 and 1,158.43

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Solution

The fourth proportional to 3,349.64, 5,024.52 and 1,158.43 is: 1,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.64 : 5,024.52 = 1,158.43 : x
  2. Step 2: Convert to fraction form
    3,349.64/5,024.52 = 1,158.43/x
  3. Step 3: Cross multiply
    3,349.64x = 5,024.52 × 1,158.43
  4. Step 4: Simplify right side
    3,349.64x = 5,820,535.80
  5. Step 5: Solve for x
    x = 5,820,535.80/3,349.64
  6. Step 6: Final answer
    x = 1,737.66

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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.