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Finding the Fourth Proportional to 5,700.92, 7,867.46 and 3,310.70

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Solution

The fourth proportional to 5,700.92, 7,867.46 and 3,310.70 is: 4,568.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.92 : 7,867.46 = 3,310.70 : x
  2. Step 2: Convert to fraction form
    5,700.92/7,867.46 = 3,310.70/x
  3. Step 3: Cross multiply
    5,700.92x = 7,867.46 × 3,310.70
  4. Step 4: Simplify right side
    5,700.92x = 26,046,799.82
  5. Step 5: Solve for x
    x = 26,046,799.82/5,700.92
  6. Step 6: Final answer
    x = 4,568.88

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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.