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Finding the Fourth Proportional to 5,147.60, 7,721.41 and 1,449.83

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Solution

The fourth proportional to 5,147.60, 7,721.41 and 1,449.83 is: 2,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.60 : 7,721.41 = 1,449.83 : x
  2. Step 2: Convert to fraction form
    5,147.60/7,721.41 = 1,449.83/x
  3. Step 3: Cross multiply
    5,147.60x = 7,721.41 × 1,449.83
  4. Step 4: Simplify right side
    5,147.60x = 11,194,731.86
  5. Step 5: Solve for x
    x = 11,194,731.86/5,147.60
  6. Step 6: Final answer
    x = 2,174.75

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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.