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Finding the Fourth Proportional to 5,202.97, 7,801.72 and 2,241.41

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Solution

The fourth proportional to 5,202.97, 7,801.72 and 2,241.41 is: 3,360.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.97 : 7,801.72 = 2,241.41 : x
  2. Step 2: Convert to fraction form
    5,202.97/7,801.72 = 2,241.41/x
  3. Step 3: Cross multiply
    5,202.97x = 7,801.72 × 2,241.41
  4. Step 4: Simplify right side
    5,202.97x = 17,486,808.61
  5. Step 5: Solve for x
    x = 17,486,808.61/5,202.97
  6. Step 6: Final answer
    x = 3,360.93

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Why These Related Problems?

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