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Finding the Fourth Proportional to 4,249.68, 6,372 and 1,617.39

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Solution

The fourth proportional to 4,249.68, 6,372 and 1,617.39 is: 2,425.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.68 : 6,372 = 1,617.39 : x
  2. Step 2: Convert to fraction form
    4,249.68/6,372 = 1,617.39/x
  3. Step 3: Cross multiply
    4,249.68x = 6,372 × 1,617.39
  4. Step 4: Simplify right side
    4,249.68x = 10,306,009.08
  5. Step 5: Solve for x
    x = 10,306,009.08/4,249.68
  6. Step 6: Final answer
    x = 2,425.13

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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.