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Finding the Fourth Proportional to 5,003.50, 7,517.56 and 3,767.16

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Solution

The fourth proportional to 5,003.50, 7,517.56 and 3,767.16 is: 5,660.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.50 : 7,517.56 = 3,767.16 : x
  2. Step 2: Convert to fraction form
    5,003.50/7,517.56 = 3,767.16/x
  3. Step 3: Cross multiply
    5,003.50x = 7,517.56 × 3,767.16
  4. Step 4: Simplify right side
    5,003.50x = 28,319,834.88
  5. Step 5: Solve for x
    x = 28,319,834.88/5,003.50
  6. Step 6: Final answer
    x = 5,660.01

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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.