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Finding the Fourth Proportional to 5,597.38, 7,724.42 and 3,079.65

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Solution

The fourth proportional to 5,597.38, 7,724.42 and 3,079.65 is: 4,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.38 : 7,724.42 = 3,079.65 : x
  2. Step 2: Convert to fraction form
    5,597.38/7,724.42 = 3,079.65/x
  3. Step 3: Cross multiply
    5,597.38x = 7,724.42 × 3,079.65
  4. Step 4: Simplify right side
    5,597.38x = 23,788,517.75
  5. Step 5: Solve for x
    x = 23,788,517.75/5,597.38
  6. Step 6: Final answer
    x = 4,249.94

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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.