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Finding the Fourth Proportional to 3,839.81, 5,298.95 and 2,268.68

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Solution

The fourth proportional to 3,839.81, 5,298.95 and 2,268.68 is: 3,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.81 : 5,298.95 = 2,268.68 : x
  2. Step 2: Convert to fraction form
    3,839.81/5,298.95 = 2,268.68/x
  3. Step 3: Cross multiply
    3,839.81x = 5,298.95 × 2,268.68
  4. Step 4: Simplify right side
    3,839.81x = 12,021,601.06
  5. Step 5: Solve for x
    x = 12,021,601.06/3,839.81
  6. Step 6: Final answer
    x = 3,130.78

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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.