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Finding the Fourth Proportional to 3,506.97, 5,265.63 and 2,344.17

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Solution

The fourth proportional to 3,506.97, 5,265.63 and 2,344.17 is: 3,519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.97 : 5,265.63 = 2,344.17 : x
  2. Step 2: Convert to fraction form
    3,506.97/5,265.63 = 2,344.17/x
  3. Step 3: Cross multiply
    3,506.97x = 5,265.63 × 2,344.17
  4. Step 4: Simplify right side
    3,506.97x = 12,343,531.88
  5. Step 5: Solve for x
    x = 12,343,531.88/3,506.97
  6. Step 6: Final answer
    x = 3,519.71

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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.