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Finding the Fourth Proportional to 5,542.97, 8,314.52 and 1,647.41

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Solution

The fourth proportional to 5,542.97, 8,314.52 and 1,647.41 is: 2,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.97 : 8,314.52 = 1,647.41 : x
  2. Step 2: Convert to fraction form
    5,542.97/8,314.52 = 1,647.41/x
  3. Step 3: Cross multiply
    5,542.97x = 8,314.52 × 1,647.41
  4. Step 4: Simplify right side
    5,542.97x = 13,697,373.58
  5. Step 5: Solve for x
    x = 13,697,373.58/5,542.97
  6. Step 6: Final answer
    x = 2,471.13

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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.