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Finding the Fourth Proportional to 3,681.67, 5,080.82 and 2,003.15

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Solution

The fourth proportional to 3,681.67, 5,080.82 and 2,003.15 is: 2,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.67 : 5,080.82 = 2,003.15 : x
  2. Step 2: Convert to fraction form
    3,681.67/5,080.82 = 2,003.15/x
  3. Step 3: Cross multiply
    3,681.67x = 5,080.82 × 2,003.15
  4. Step 4: Simplify right side
    3,681.67x = 10,177,644.58
  5. Step 5: Solve for x
    x = 10,177,644.58/3,681.67
  6. Step 6: Final answer
    x = 2,764.41

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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.