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Finding the Fourth Proportional to 5,591.27, 7,715.78 and 3,073.37

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Solution

The fourth proportional to 5,591.27, 7,715.78 and 3,073.37 is: 4,241.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.27 : 7,715.78 = 3,073.37 : x
  2. Step 2: Convert to fraction form
    5,591.27/7,715.78 = 3,073.37/x
  3. Step 3: Cross multiply
    5,591.27x = 7,715.78 × 3,073.37
  4. Step 4: Simplify right side
    5,591.27x = 23,713,473.75
  5. Step 5: Solve for x
    x = 23,713,473.75/5,591.27
  6. Step 6: Final answer
    x = 4,241.16

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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.