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Finding the Fourth Proportional to 3,542.73, 5,314.68 and 1,076.98

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Solution

The fourth proportional to 3,542.73, 5,314.68 and 1,076.98 is: 1,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.73 : 5,314.68 = 1,076.98 : x
  2. Step 2: Convert to fraction form
    3,542.73/5,314.68 = 1,076.98/x
  3. Step 3: Cross multiply
    3,542.73x = 5,314.68 × 1,076.98
  4. Step 4: Simplify right side
    3,542.73x = 5,723,800.74
  5. Step 5: Solve for x
    x = 5,723,800.74/3,542.73
  6. Step 6: Final answer
    x = 1,615.65

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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.