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Finding the Fourth Proportional to 5,542.62, 7,648.82 and 3,446.76

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Solution

The fourth proportional to 5,542.62, 7,648.82 and 3,446.76 is: 4,756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.62 : 7,648.82 = 3,446.76 : x
  2. Step 2: Convert to fraction form
    5,542.62/7,648.82 = 3,446.76/x
  3. Step 3: Cross multiply
    5,542.62x = 7,648.82 × 3,446.76
  4. Step 4: Simplify right side
    5,542.62x = 26,363,646.82
  5. Step 5: Solve for x
    x = 26,363,646.82/5,542.62
  6. Step 6: Final answer
    x = 4,756.53

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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.