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Finding the Fourth Proportional to 5,449.75, 8,129.38 and 5,267.53

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Solution

The fourth proportional to 5,449.75, 8,129.38 and 5,267.53 is: 7,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.75 : 8,129.38 = 5,267.53 : x
  2. Step 2: Convert to fraction form
    5,449.75/8,129.38 = 5,267.53/x
  3. Step 3: Cross multiply
    5,449.75x = 8,129.38 × 5,267.53
  4. Step 4: Simplify right side
    5,449.75x = 42,821,753.03
  5. Step 5: Solve for x
    x = 42,821,753.03/5,449.75
  6. Step 6: Final answer
    x = 7,857.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.