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Finding the Fourth Proportional to 3,238.61, 4,853.84 and 1,387.54

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Solution

The fourth proportional to 3,238.61, 4,853.84 and 1,387.54 is: 2,079.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.61 : 4,853.84 = 1,387.54 : x
  2. Step 2: Convert to fraction form
    3,238.61/4,853.84 = 1,387.54/x
  3. Step 3: Cross multiply
    3,238.61x = 4,853.84 × 1,387.54
  4. Step 4: Simplify right side
    3,238.61x = 6,734,897.15
  5. Step 5: Solve for x
    x = 6,734,897.15/3,238.61
  6. Step 6: Final answer
    x = 2,079.56

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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.