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Finding the Fourth Proportional to 3,882.06, 5,357.30 and 2,203.43

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Solution

The fourth proportional to 3,882.06, 5,357.30 and 2,203.43 is: 3,040.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.06 : 5,357.30 = 2,203.43 : x
  2. Step 2: Convert to fraction form
    3,882.06/5,357.30 = 2,203.43/x
  3. Step 3: Cross multiply
    3,882.06x = 5,357.30 × 2,203.43
  4. Step 4: Simplify right side
    3,882.06x = 11,804,397.74
  5. Step 5: Solve for x
    x = 11,804,397.74/3,882.06
  6. Step 6: Final answer
    x = 3,040.76

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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.