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Finding the Fourth Proportional to 5,537.67, 7,642.65 and 3,493.73

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Solution

The fourth proportional to 5,537.67, 7,642.65 and 3,493.73 is: 4,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.67 : 7,642.65 = 3,493.73 : x
  2. Step 2: Convert to fraction form
    5,537.67/7,642.65 = 3,493.73/x
  3. Step 3: Cross multiply
    5,537.67x = 7,642.65 × 3,493.73
  4. Step 4: Simplify right side
    5,537.67x = 26,701,387.79
  5. Step 5: Solve for x
    x = 26,701,387.79/5,537.67
  6. Step 6: Final answer
    x = 4,821.78

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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.