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Finding the Fourth Proportional to 3,227.71, 4,454.28 and 1,883.28

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Solution

The fourth proportional to 3,227.71, 4,454.28 and 1,883.28 is: 2,598.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.71 : 4,454.28 = 1,883.28 : x
  2. Step 2: Convert to fraction form
    3,227.71/4,454.28 = 1,883.28/x
  3. Step 3: Cross multiply
    3,227.71x = 4,454.28 × 1,883.28
  4. Step 4: Simplify right side
    3,227.71x = 8,388,634.17
  5. Step 5: Solve for x
    x = 8,388,634.17/3,227.71
  6. Step 6: Final answer
    x = 2,598.95

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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.