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Finding the Fourth Proportional to 2,747.71, 4,097.71 and 2,652.04

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Solution

The fourth proportional to 2,747.71, 4,097.71 and 2,652.04 is: 3,955.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.71 : 4,097.71 = 2,652.04 : x
  2. Step 2: Convert to fraction form
    2,747.71/4,097.71 = 2,652.04/x
  3. Step 3: Cross multiply
    2,747.71x = 4,097.71 × 2,652.04
  4. Step 4: Simplify right side
    2,747.71x = 10,867,290.83
  5. Step 5: Solve for x
    x = 10,867,290.83/2,747.71
  6. Step 6: Final answer
    x = 3,955.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.