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Finding the Fourth Proportional to 5,200.97, 7,801.56 and 2,426.89

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Solution

The fourth proportional to 5,200.97, 7,801.56 and 2,426.89 is: 3,640.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.97 : 7,801.56 = 2,426.89 : x
  2. Step 2: Convert to fraction form
    5,200.97/7,801.56 = 2,426.89/x
  3. Step 3: Cross multiply
    5,200.97x = 7,801.56 × 2,426.89
  4. Step 4: Simplify right side
    5,200.97x = 18,933,515.81
  5. Step 5: Solve for x
    x = 18,933,515.81/5,200.97
  6. Step 6: Final answer
    x = 3,640.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.