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Finding the Fourth Proportional to 3,882.47, 5,357.54 and 2,203.91

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Solution

The fourth proportional to 3,882.47, 5,357.54 and 2,203.91 is: 3,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.47 : 5,357.54 = 2,203.91 : x
  2. Step 2: Convert to fraction form
    3,882.47/5,357.54 = 2,203.91/x
  3. Step 3: Cross multiply
    3,882.47x = 5,357.54 × 2,203.91
  4. Step 4: Simplify right side
    3,882.47x = 11,807,524.96
  5. Step 5: Solve for x
    x = 11,807,524.96/3,882.47
  6. Step 6: Final answer
    x = 3,041.24

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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.