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Finding the Fourth Proportional to 5,143.28, 7,724.33 and 4,709.52

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Solution

The fourth proportional to 5,143.28, 7,724.33 and 4,709.52 is: 7,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.28 : 7,724.33 = 4,709.52 : x
  2. Step 2: Convert to fraction form
    5,143.28/7,724.33 = 4,709.52/x
  3. Step 3: Cross multiply
    5,143.28x = 7,724.33 × 4,709.52
  4. Step 4: Simplify right side
    5,143.28x = 36,377,863.07
  5. Step 5: Solve for x
    x = 36,377,863.07/5,143.28
  6. Step 6: Final answer
    x = 7,072.90

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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.