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Finding the Fourth Proportional to 5,679.20, 7,838.55 and 3,162.20

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Solution

The fourth proportional to 5,679.20, 7,838.55 and 3,162.20 is: 4,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.20 : 7,838.55 = 3,162.20 : x
  2. Step 2: Convert to fraction form
    5,679.20/7,838.55 = 3,162.20/x
  3. Step 3: Cross multiply
    5,679.20x = 7,838.55 × 3,162.20
  4. Step 4: Simplify right side
    5,679.20x = 24,787,023.62
  5. Step 5: Solve for x
    x = 24,787,023.62/5,679.20
  6. Step 6: Final answer
    x = 4,364.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.