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Finding the Fourth Proportional to 5,149.52, 7,724.22 and 1,253.93

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Solution

The fourth proportional to 5,149.52, 7,724.22 and 1,253.93 is: 1,880.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.52 : 7,724.22 = 1,253.93 : x
  2. Step 2: Convert to fraction form
    5,149.52/7,724.22 = 1,253.93/x
  3. Step 3: Cross multiply
    5,149.52x = 7,724.22 × 1,253.93
  4. Step 4: Simplify right side
    5,149.52x = 9,685,631.18
  5. Step 5: Solve for x
    x = 9,685,631.18/5,149.52
  6. Step 6: Final answer
    x = 1,880.88

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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.