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Finding the Fourth Proportional to 5,597.70, 7,724.46 and 3,079.32

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Solution

The fourth proportional to 5,597.70, 7,724.46 and 3,079.32 is: 4,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.70 : 7,724.46 = 3,079.32 : x
  2. Step 2: Convert to fraction form
    5,597.70/7,724.46 = 3,079.32/x
  3. Step 3: Cross multiply
    5,597.70x = 7,724.46 × 3,079.32
  4. Step 4: Simplify right side
    5,597.70x = 23,786,084.17
  5. Step 5: Solve for x
    x = 23,786,084.17/5,597.70
  6. Step 6: Final answer
    x = 4,249.26

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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.