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Finding the Fourth Proportional to 3,407.60, 5,108.17 and 1,845.24

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Solution

The fourth proportional to 3,407.60, 5,108.17 and 1,845.24 is: 2,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.60 : 5,108.17 = 1,845.24 : x
  2. Step 2: Convert to fraction form
    3,407.60/5,108.17 = 1,845.24/x
  3. Step 3: Cross multiply
    3,407.60x = 5,108.17 × 1,845.24
  4. Step 4: Simplify right side
    3,407.60x = 9,425,799.61
  5. Step 5: Solve for x
    x = 9,425,799.61/3,407.60
  6. Step 6: Final answer
    x = 2,766.11

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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.