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Finding the Fourth Proportional to 3,836.96, 5,295 and 2,158.37

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Solution

The fourth proportional to 3,836.96, 5,295 and 2,158.37 is: 2,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.96 : 5,295 = 2,158.37 : x
  2. Step 2: Convert to fraction form
    3,836.96/5,295 = 2,158.37/x
  3. Step 3: Cross multiply
    3,836.96x = 5,295 × 2,158.37
  4. Step 4: Simplify right side
    3,836.96x = 11,428,569.15
  5. Step 5: Solve for x
    x = 11,428,569.15/3,836.96
  6. Step 6: Final answer
    x = 2,978.55

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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.