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Finding the Fourth Proportional to 5,724.62, 7,882.42 and 5,012.48

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Solution

The fourth proportional to 5,724.62, 7,882.42 and 5,012.48 is: 6,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.62 : 7,882.42 = 5,012.48 : x
  2. Step 2: Convert to fraction form
    5,724.62/7,882.42 = 5,012.48/x
  3. Step 3: Cross multiply
    5,724.62x = 7,882.42 × 5,012.48
  4. Step 4: Simplify right side
    5,724.62x = 39,510,472.60
  5. Step 5: Solve for x
    x = 39,510,472.60/5,724.62
  6. Step 6: Final answer
    x = 6,901.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.