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Finding the Fourth Proportional to 5,597.13, 7,724.08 and 3,079.40

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Solution

The fourth proportional to 5,597.13, 7,724.08 and 3,079.40 is: 4,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.13 : 7,724.08 = 3,079.40 : x
  2. Step 2: Convert to fraction form
    5,597.13/7,724.08 = 3,079.40/x
  3. Step 3: Cross multiply
    5,597.13x = 7,724.08 × 3,079.40
  4. Step 4: Simplify right side
    5,597.13x = 23,785,516.56
  5. Step 5: Solve for x
    x = 23,785,516.56/5,597.13
  6. Step 6: Final answer
    x = 4,249.59

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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.