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Finding the Fourth Proportional to 3,238.62, 4,857.42 and 1,158.24

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Solution

The fourth proportional to 3,238.62, 4,857.42 and 1,158.24 is: 1,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.62 : 4,857.42 = 1,158.24 : x
  2. Step 2: Convert to fraction form
    3,238.62/4,857.42 = 1,158.24/x
  3. Step 3: Cross multiply
    3,238.62x = 4,857.42 × 1,158.24
  4. Step 4: Simplify right side
    3,238.62x = 5,626,052.35
  5. Step 5: Solve for x
    x = 5,626,052.35/3,238.62
  6. Step 6: Final answer
    x = 1,737.18

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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.