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Finding the Fourth Proportional to 2,696.28, 3,714.50 and 2,571.72

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Solution

The fourth proportional to 2,696.28, 3,714.50 and 2,571.72 is: 3,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.28 : 3,714.50 = 2,571.72 : x
  2. Step 2: Convert to fraction form
    2,696.28/3,714.50 = 2,571.72/x
  3. Step 3: Cross multiply
    2,696.28x = 3,714.50 × 2,571.72
  4. Step 4: Simplify right side
    2,696.28x = 9,552,675.97
  5. Step 5: Solve for x
    x = 9,552,675.97/2,696.28
  6. Step 6: Final answer
    x = 3,542.91

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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.