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Finding the Fourth Proportional to 7,249.60, 10,867.20 and 3,347.20

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Solution

The fourth proportional to 7,249.60, 10,867.20 and 3,347.20 is: 5,017.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.60 : 10,867.20 = 3,347.20 : x
  2. Step 2: Convert to fraction form
    7,249.60/10,867.20 = 3,347.20/x
  3. Step 3: Cross multiply
    7,249.60x = 10,867.20 × 3,347.20
  4. Step 4: Simplify right side
    7,249.60x = 36,374,691.84
  5. Step 5: Solve for x
    x = 36,374,691.84/7,249.60
  6. Step 6: Final answer
    x = 5,017.48

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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.