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Finding the Fourth Proportional to 5,597.28, 7,723.92 and 3,078.96

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Solution

The fourth proportional to 5,597.28, 7,723.92 and 3,078.96 is: 4,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.28 : 7,723.92 = 3,078.96 : x
  2. Step 2: Convert to fraction form
    5,597.28/7,723.92 = 3,078.96/x
  3. Step 3: Cross multiply
    5,597.28x = 7,723.92 × 3,078.96
  4. Step 4: Simplify right side
    5,597.28x = 23,781,640.72
  5. Step 5: Solve for x
    x = 23,781,640.72/5,597.28
  6. Step 6: Final answer
    x = 4,248.79

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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.