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Finding the Fourth Proportional to 4,884.20, 6,734.82 and 3,113

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Solution

The fourth proportional to 4,884.20, 6,734.82 and 3,113 is: 4,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.20 : 6,734.82 = 3,113 : x
  2. Step 2: Convert to fraction form
    4,884.20/6,734.82 = 3,113/x
  3. Step 3: Cross multiply
    4,884.20x = 6,734.82 × 3,113
  4. Step 4: Simplify right side
    4,884.20x = 20,965,494.66
  5. Step 5: Solve for x
    x = 20,965,494.66/4,884.20
  6. Step 6: Final answer
    x = 4,292.51

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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.