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Finding the Fourth Proportional to 3,425.49, 5,132.61 and 1,449.54

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Solution

The fourth proportional to 3,425.49, 5,132.61 and 1,449.54 is: 2,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.49 : 5,132.61 = 1,449.54 : x
  2. Step 2: Convert to fraction form
    3,425.49/5,132.61 = 1,449.54/x
  3. Step 3: Cross multiply
    3,425.49x = 5,132.61 × 1,449.54
  4. Step 4: Simplify right side
    3,425.49x = 7,439,923.50
  5. Step 5: Solve for x
    x = 7,439,923.50/3,425.49
  6. Step 6: Final answer
    x = 2,171.93

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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.