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Finding the Fourth Proportional to 3,591.55, 5,387.33 and 994.49

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Solution

The fourth proportional to 3,591.55, 5,387.33 and 994.49 is: 1,491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.55 : 5,387.33 = 994.49 : x
  2. Step 2: Convert to fraction form
    3,591.55/5,387.33 = 994.49/x
  3. Step 3: Cross multiply
    3,591.55x = 5,387.33 × 994.49
  4. Step 4: Simplify right side
    3,591.55x = 5,357,640.84
  5. Step 5: Solve for x
    x = 5,357,640.84/3,591.55
  6. Step 6: Final answer
    x = 1,491.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.