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Finding the Fourth Proportional to 3,175.52, 4,382.25 and 1,916.33

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Solution

The fourth proportional to 3,175.52, 4,382.25 and 1,916.33 is: 2,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.52 : 4,382.25 = 1,916.33 : x
  2. Step 2: Convert to fraction form
    3,175.52/4,382.25 = 1,916.33/x
  3. Step 3: Cross multiply
    3,175.52x = 4,382.25 × 1,916.33
  4. Step 4: Simplify right side
    3,175.52x = 8,397,837.14
  5. Step 5: Solve for x
    x = 8,397,837.14/3,175.52
  6. Step 6: Final answer
    x = 2,644.55

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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.