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Finding the Fourth Proportional to 3,834.84, 5,291.17 and 2,155.92

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Solution

The fourth proportional to 3,834.84, 5,291.17 and 2,155.92 is: 2,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.84 : 5,291.17 = 2,155.92 : x
  2. Step 2: Convert to fraction form
    3,834.84/5,291.17 = 2,155.92/x
  3. Step 3: Cross multiply
    3,834.84x = 5,291.17 × 2,155.92
  4. Step 4: Simplify right side
    3,834.84x = 11,407,326.12
  5. Step 5: Solve for x
    x = 11,407,326.12/3,834.84
  6. Step 6: Final answer
    x = 2,974.65

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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.