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Finding the Fourth Proportional to 3,343.57, 4,611.33 and 2,506.24

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Solution

The fourth proportional to 3,343.57, 4,611.33 and 2,506.24 is: 3,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.57 : 4,611.33 = 2,506.24 : x
  2. Step 2: Convert to fraction form
    3,343.57/4,611.33 = 2,506.24/x
  3. Step 3: Cross multiply
    3,343.57x = 4,611.33 × 2,506.24
  4. Step 4: Simplify right side
    3,343.57x = 11,557,099.70
  5. Step 5: Solve for x
    x = 11,557,099.70/3,343.57
  6. Step 6: Final answer
    x = 3,456.51

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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.