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Finding the Fourth Proportional to 5,652.28, 7,801.06 and 3,293.97

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Solution

The fourth proportional to 5,652.28, 7,801.06 and 3,293.97 is: 4,546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.28 : 7,801.06 = 3,293.97 : x
  2. Step 2: Convert to fraction form
    5,652.28/7,801.06 = 3,293.97/x
  3. Step 3: Cross multiply
    5,652.28x = 7,801.06 × 3,293.97
  4. Step 4: Simplify right side
    5,652.28x = 25,696,426.30
  5. Step 5: Solve for x
    x = 25,696,426.30/5,652.28
  6. Step 6: Final answer
    x = 4,546.20

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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.