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Finding the Fourth Proportional to 5,149.28, 7,723.84 and 1,253.68

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Solution

The fourth proportional to 5,149.28, 7,723.84 and 1,253.68 is: 1,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.28 : 7,723.84 = 1,253.68 : x
  2. Step 2: Convert to fraction form
    5,149.28/7,723.84 = 1,253.68/x
  3. Step 3: Cross multiply
    5,149.28x = 7,723.84 × 1,253.68
  4. Step 4: Simplify right side
    5,149.28x = 9,683,223.73
  5. Step 5: Solve for x
    x = 9,683,223.73/5,149.28
  6. Step 6: Final answer
    x = 1,880.50

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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.