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Finding the Fourth Proportional to 3,861.97, 5,329.55 and 2,268.20

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Solution

The fourth proportional to 3,861.97, 5,329.55 and 2,268.20 is: 3,130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.97 : 5,329.55 = 2,268.20 : x
  2. Step 2: Convert to fraction form
    3,861.97/5,329.55 = 2,268.20/x
  3. Step 3: Cross multiply
    3,861.97x = 5,329.55 × 2,268.20
  4. Step 4: Simplify right side
    3,861.97x = 12,088,485.31
  5. Step 5: Solve for x
    x = 12,088,485.31/3,861.97
  6. Step 6: Final answer
    x = 3,130.13

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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.