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Finding the Fourth Proportional to 3,932.77, 5,427.23 and 2,254.28

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Solution

The fourth proportional to 3,932.77, 5,427.23 and 2,254.28 is: 3,110.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.77 : 5,427.23 = 2,254.28 : x
  2. Step 2: Convert to fraction form
    3,932.77/5,427.23 = 2,254.28/x
  3. Step 3: Cross multiply
    3,932.77x = 5,427.23 × 2,254.28
  4. Step 4: Simplify right side
    3,932.77x = 12,234,474.54
  5. Step 5: Solve for x
    x = 12,234,474.54/3,932.77
  6. Step 6: Final answer
    x = 3,110.91

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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.