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Finding the Fourth Proportional to 3,963.36, 5,471.28 and 2,566.56

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Solution

The fourth proportional to 3,963.36, 5,471.28 and 2,566.56 is: 3,543.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.36 : 5,471.28 = 2,566.56 : x
  2. Step 2: Convert to fraction form
    3,963.36/5,471.28 = 2,566.56/x
  3. Step 3: Cross multiply
    3,963.36x = 5,471.28 × 2,566.56
  4. Step 4: Simplify right side
    3,963.36x = 14,042,368.40
  5. Step 5: Solve for x
    x = 14,042,368.40/3,963.36
  6. Step 6: Final answer
    x = 3,543.05

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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.