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Finding the Fourth Proportional to 5,981, 8,963.42 and 2,281.22

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Solution

The fourth proportional to 5,981, 8,963.42 and 2,281.22 is: 3,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981 : 8,963.42 = 2,281.22 : x
  2. Step 2: Convert to fraction form
    5,981/8,963.42 = 2,281.22/x
  3. Step 3: Cross multiply
    5,981x = 8,963.42 × 2,281.22
  4. Step 4: Simplify right side
    5,981x = 20,447,532.97
  5. Step 5: Solve for x
    x = 20,447,532.97/5,981
  6. Step 6: Final answer
    x = 3,418.75

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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.