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Finding the Fourth Proportional to 5,591.73, 7,716.58 and 3,074

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Solution

The fourth proportional to 5,591.73, 7,716.58 and 3,074 is: 4,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.73 : 7,716.58 = 3,074 : x
  2. Step 2: Convert to fraction form
    5,591.73/7,716.58 = 3,074/x
  3. Step 3: Cross multiply
    5,591.73x = 7,716.58 × 3,074
  4. Step 4: Simplify right side
    5,591.73x = 23,720,766.92
  5. Step 5: Solve for x
    x = 23,720,766.92/5,591.73
  6. Step 6: Final answer
    x = 4,242.12

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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.