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Finding the Fourth Proportional to 3,727.44, 5,591.16 and 1,674

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Solution

The fourth proportional to 3,727.44, 5,591.16 and 1,674 is: 2,511

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.44 : 5,591.16 = 1,674 : x
  2. Step 2: Convert to fraction form
    3,727.44/5,591.16 = 1,674/x
  3. Step 3: Cross multiply
    3,727.44x = 5,591.16 × 1,674
  4. Step 4: Simplify right side
    3,727.44x = 9,359,601.84
  5. Step 5: Solve for x
    x = 9,359,601.84/3,727.44
  6. Step 6: Final answer
    x = 2,511

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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.