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Finding the Fourth Proportional to 3,833.64, 5,290.42 and 2,155.12

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Solution

The fourth proportional to 3,833.64, 5,290.42 and 2,155.12 is: 2,974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.64 : 5,290.42 = 2,155.12 : x
  2. Step 2: Convert to fraction form
    3,833.64/5,290.42 = 2,155.12/x
  3. Step 3: Cross multiply
    3,833.64x = 5,290.42 × 2,155.12
  4. Step 4: Simplify right side
    3,833.64x = 11,401,489.95
  5. Step 5: Solve for x
    x = 11,401,489.95/3,833.64
  6. Step 6: Final answer
    x = 2,974.06

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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.