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Finding the Fourth Proportional to 3,447.48, 5,171.22 and 1,499.46

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Solution

The fourth proportional to 3,447.48, 5,171.22 and 1,499.46 is: 2,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.48 : 5,171.22 = 1,499.46 : x
  2. Step 2: Convert to fraction form
    3,447.48/5,171.22 = 1,499.46/x
  3. Step 3: Cross multiply
    3,447.48x = 5,171.22 × 1,499.46
  4. Step 4: Simplify right side
    3,447.48x = 7,754,037.54
  5. Step 5: Solve for x
    x = 7,754,037.54/3,447.48
  6. Step 6: Final answer
    x = 2,249.19

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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.