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Finding the Fourth Proportional to 4,982.28, 6,876.02 and 3,214.86

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Solution

The fourth proportional to 4,982.28, 6,876.02 and 3,214.86 is: 4,436.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.28 : 6,876.02 = 3,214.86 : x
  2. Step 2: Convert to fraction form
    4,982.28/6,876.02 = 3,214.86/x
  3. Step 3: Cross multiply
    4,982.28x = 6,876.02 × 3,214.86
  4. Step 4: Simplify right side
    4,982.28x = 22,105,441.66
  5. Step 5: Solve for x
    x = 22,105,441.66/4,982.28
  6. Step 6: Final answer
    x = 4,436.81

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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.