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Finding the Fourth Proportional to 6,159.92, 9,226.80 and 5,719.28

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Solution

The fourth proportional to 6,159.92, 9,226.80 and 5,719.28 is: 8,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.92 : 9,226.80 = 5,719.28 : x
  2. Step 2: Convert to fraction form
    6,159.92/9,226.80 = 5,719.28/x
  3. Step 3: Cross multiply
    6,159.92x = 9,226.80 × 5,719.28
  4. Step 4: Simplify right side
    6,159.92x = 52,770,652.70
  5. Step 5: Solve for x
    x = 52,770,652.70/6,159.92
  6. Step 6: Final answer
    x = 8,566.78

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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.