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Finding the Fourth Proportional to 3,982.80, 5,498.76 and 3,608.40

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Solution

The fourth proportional to 3,982.80, 5,498.76 and 3,608.40 is: 4,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.80 : 5,498.76 = 3,608.40 : x
  2. Step 2: Convert to fraction form
    3,982.80/5,498.76 = 3,608.40/x
  3. Step 3: Cross multiply
    3,982.80x = 5,498.76 × 3,608.40
  4. Step 4: Simplify right side
    3,982.80x = 19,841,725.58
  5. Step 5: Solve for x
    x = 19,841,725.58/3,982.80
  6. Step 6: Final answer
    x = 4,981.85

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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.