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Finding the Fourth Proportional to 5,638.97, 7,781.82 and 3,400.40

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Solution

The fourth proportional to 5,638.97, 7,781.82 and 3,400.40 is: 4,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.97 : 7,781.82 = 3,400.40 : x
  2. Step 2: Convert to fraction form
    5,638.97/7,781.82 = 3,400.40/x
  3. Step 3: Cross multiply
    5,638.97x = 7,781.82 × 3,400.40
  4. Step 4: Simplify right side
    5,638.97x = 26,461,300.73
  5. Step 5: Solve for x
    x = 26,461,300.73/5,638.97
  6. Step 6: Final answer
    x = 4,692.58

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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.