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Finding the Fourth Proportional to 5,155.28, 7,724.28 and 2,839.76

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Solution

The fourth proportional to 5,155.28, 7,724.28 and 2,839.76 is: 4,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.28 : 7,724.28 = 2,839.76 : x
  2. Step 2: Convert to fraction form
    5,155.28/7,724.28 = 2,839.76/x
  3. Step 3: Cross multiply
    5,155.28x = 7,724.28 × 2,839.76
  4. Step 4: Simplify right side
    5,155.28x = 21,935,101.37
  5. Step 5: Solve for x
    x = 21,935,101.37/5,155.28
  6. Step 6: Final answer
    x = 4,254.88

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1.5x scale

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.