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Finding the Fourth Proportional to 5,744.82, 8,591.97 and 5,003.70

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Solution

The fourth proportional to 5,744.82, 8,591.97 and 5,003.70 is: 7,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.82 : 8,591.97 = 5,003.70 : x
  2. Step 2: Convert to fraction form
    5,744.82/8,591.97 = 5,003.70/x
  3. Step 3: Cross multiply
    5,744.82x = 8,591.97 × 5,003.70
  4. Step 4: Simplify right side
    5,744.82x = 42,991,640.29
  5. Step 5: Solve for x
    x = 42,991,640.29/5,744.82
  6. Step 6: Final answer
    x = 7,483.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.