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Finding the Fourth Proportional to 3,665.97, 5,499.18 and 1,474.70

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Solution

The fourth proportional to 3,665.97, 5,499.18 and 1,474.70 is: 2,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.97 : 5,499.18 = 1,474.70 : x
  2. Step 2: Convert to fraction form
    3,665.97/5,499.18 = 1,474.70/x
  3. Step 3: Cross multiply
    3,665.97x = 5,499.18 × 1,474.70
  4. Step 4: Simplify right side
    3,665.97x = 8,109,613.25
  5. Step 5: Solve for x
    x = 8,109,613.25/3,665.97
  6. Step 6: Final answer
    x = 2,212.13

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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.