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Finding the Fourth Proportional to 3,833.92, 5,290.18 and 2,155.11

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Solution

The fourth proportional to 3,833.92, 5,290.18 and 2,155.11 is: 2,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.92 : 5,290.18 = 2,155.11 : x
  2. Step 2: Convert to fraction form
    3,833.92/5,290.18 = 2,155.11/x
  3. Step 3: Cross multiply
    3,833.92x = 5,290.18 × 2,155.11
  4. Step 4: Simplify right side
    3,833.92x = 11,400,919.82
  5. Step 5: Solve for x
    x = 11,400,919.82/3,833.92
  6. Step 6: Final answer
    x = 2,973.70

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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.