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Finding the Fourth Proportional to 5,597.71, 7,724.54 and 3,079.42

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Solution

The fourth proportional to 5,597.71, 7,724.54 and 3,079.42 is: 4,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.71 : 7,724.54 = 3,079.42 : x
  2. Step 2: Convert to fraction form
    5,597.71/7,724.54 = 3,079.42/x
  3. Step 3: Cross multiply
    5,597.71x = 7,724.54 × 3,079.42
  4. Step 4: Simplify right side
    5,597.71x = 23,787,102.97
  5. Step 5: Solve for x
    x = 23,787,102.97/5,597.71
  6. Step 6: Final answer
    x = 4,249.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.