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Finding the Fourth Proportional to 5,963.20, 8,211.36 and 4,913.44

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Solution

The fourth proportional to 5,963.20, 8,211.36 and 4,913.44 is: 6,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.20 : 8,211.36 = 4,913.44 : x
  2. Step 2: Convert to fraction form
    5,963.20/8,211.36 = 4,913.44/x
  3. Step 3: Cross multiply
    5,963.20x = 8,211.36 × 4,913.44
  4. Step 4: Simplify right side
    5,963.20x = 40,346,024.68
  5. Step 5: Solve for x
    x = 40,346,024.68/5,963.20
  6. Step 6: Final answer
    x = 6,765.83

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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.