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Finding the Fourth Proportional to 3,538.34, 5,306.82 and 3,362.73

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Solution

The fourth proportional to 3,538.34, 5,306.82 and 3,362.73 is: 5,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.34 : 5,306.82 = 3,362.73 : x
  2. Step 2: Convert to fraction form
    3,538.34/5,306.82 = 3,362.73/x
  3. Step 3: Cross multiply
    3,538.34x = 5,306.82 × 3,362.73
  4. Step 4: Simplify right side
    3,538.34x = 17,845,402.82
  5. Step 5: Solve for x
    x = 17,845,402.82/3,538.34
  6. Step 6: Final answer
    x = 5,043.44

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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.