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Finding the Fourth Proportional to 3,830.52, 5,286.39 and 2,152.09

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Solution

The fourth proportional to 3,830.52, 5,286.39 and 2,152.09 is: 2,970.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.52 : 5,286.39 = 2,152.09 : x
  2. Step 2: Convert to fraction form
    3,830.52/5,286.39 = 2,152.09/x
  3. Step 3: Cross multiply
    3,830.52x = 5,286.39 × 2,152.09
  4. Step 4: Simplify right side
    3,830.52x = 11,376,787.06
  5. Step 5: Solve for x
    x = 11,376,787.06/3,830.52
  6. Step 6: Final answer
    x = 2,970.04

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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.