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Finding the Fourth Proportional to 3,449.59, 5,171.63 and 1,500.42

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Solution

The fourth proportional to 3,449.59, 5,171.63 and 1,500.42 is: 2,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.59 : 5,171.63 = 1,500.42 : x
  2. Step 2: Convert to fraction form
    3,449.59/5,171.63 = 1,500.42/x
  3. Step 3: Cross multiply
    3,449.59x = 5,171.63 × 1,500.42
  4. Step 4: Simplify right side
    3,449.59x = 7,759,617.08
  5. Step 5: Solve for x
    x = 7,759,617.08/3,449.59
  6. Step 6: Final answer
    x = 2,249.43

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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.