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Finding the Fourth Proportional to 3,238.44, 4,857.45 and 1,158.33

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Solution

The fourth proportional to 3,238.44, 4,857.45 and 1,158.33 is: 1,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.44 : 4,857.45 = 1,158.33 : x
  2. Step 2: Convert to fraction form
    3,238.44/4,857.45 = 1,158.33/x
  3. Step 3: Cross multiply
    3,238.44x = 4,857.45 × 1,158.33
  4. Step 4: Simplify right side
    3,238.44x = 5,626,530.06
  5. Step 5: Solve for x
    x = 5,626,530.06/3,238.44
  6. Step 6: Final answer
    x = 1,737.42

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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.