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Finding the Fourth Proportional to 3,677.68, 5,069.82 and 3,013.48

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Solution

The fourth proportional to 3,677.68, 5,069.82 and 3,013.48 is: 4,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.68 : 5,069.82 = 3,013.48 : x
  2. Step 2: Convert to fraction form
    3,677.68/5,069.82 = 3,013.48/x
  3. Step 3: Cross multiply
    3,677.68x = 5,069.82 × 3,013.48
  4. Step 4: Simplify right side
    3,677.68x = 15,277,801.17
  5. Step 5: Solve for x
    x = 15,277,801.17/3,677.68
  6. Step 6: Final answer
    x = 4,154.20

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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.