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Finding the Fourth Proportional to 3,591.52, 5,387.75 and 994.48

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Solution

The fourth proportional to 3,591.52, 5,387.75 and 994.48 is: 1,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.52 : 5,387.75 = 994.48 : x
  2. Step 2: Convert to fraction form
    3,591.52/5,387.75 = 994.48/x
  3. Step 3: Cross multiply
    3,591.52x = 5,387.75 × 994.48
  4. Step 4: Simplify right side
    3,591.52x = 5,358,009.62
  5. Step 5: Solve for x
    x = 5,358,009.62/3,591.52
  6. Step 6: Final answer
    x = 1,491.85

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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.