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Finding the Fourth Proportional to 5,610.01, 8,414.99 and 1,449.66

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Solution

The fourth proportional to 5,610.01, 8,414.99 and 1,449.66 is: 2,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.01 : 8,414.99 = 1,449.66 : x
  2. Step 2: Convert to fraction form
    5,610.01/8,414.99 = 1,449.66/x
  3. Step 3: Cross multiply
    5,610.01x = 8,414.99 × 1,449.66
  4. Step 4: Simplify right side
    5,610.01x = 12,198,881.30
  5. Step 5: Solve for x
    x = 12,198,881.30/5,610.01
  6. Step 6: Final answer
    x = 2,174.49

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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.