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Finding the Fourth Proportional to 5,724.68, 7,898.72 and 3,366.97

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Solution

The fourth proportional to 5,724.68, 7,898.72 and 3,366.97 is: 4,645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.68 : 7,898.72 = 3,366.97 : x
  2. Step 2: Convert to fraction form
    5,724.68/7,898.72 = 3,366.97/x
  3. Step 3: Cross multiply
    5,724.68x = 7,898.72 × 3,366.97
  4. Step 4: Simplify right side
    5,724.68x = 26,594,716.70
  5. Step 5: Solve for x
    x = 26,594,716.70/5,724.68
  6. Step 6: Final answer
    x = 4,645.63

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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.