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Finding the Fourth Proportional to 3,589.74, 4,954.17 and 2,098.14

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Solution

The fourth proportional to 3,589.74, 4,954.17 and 2,098.14 is: 2,895.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.74 : 4,954.17 = 2,098.14 : x
  2. Step 2: Convert to fraction form
    3,589.74/4,954.17 = 2,098.14/x
  3. Step 3: Cross multiply
    3,589.74x = 4,954.17 × 2,098.14
  4. Step 4: Simplify right side
    3,589.74x = 10,394,542.24
  5. Step 5: Solve for x
    x = 10,394,542.24/3,589.74
  6. Step 6: Final answer
    x = 2,895.63

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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.