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Finding the Fourth Proportional to 3,834.32, 5,291.32 and 2,155.52

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Solution

The fourth proportional to 3,834.32, 5,291.32 and 2,155.52 is: 2,974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.32 : 5,291.32 = 2,155.52 : x
  2. Step 2: Convert to fraction form
    3,834.32/5,291.32 = 2,155.52/x
  3. Step 3: Cross multiply
    3,834.32x = 5,291.32 × 2,155.52
  4. Step 4: Simplify right side
    3,834.32x = 11,405,546.09
  5. Step 5: Solve for x
    x = 11,405,546.09/3,834.32
  6. Step 6: Final answer
    x = 2,974.59

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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.