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Finding the Fourth Proportional to 3,456.81, 5,185.79 and 1,268.61

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Solution

The fourth proportional to 3,456.81, 5,185.79 and 1,268.61 is: 1,903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.81 : 5,185.79 = 1,268.61 : x
  2. Step 2: Convert to fraction form
    3,456.81/5,185.79 = 1,268.61/x
  3. Step 3: Cross multiply
    3,456.81x = 5,185.79 × 1,268.61
  4. Step 4: Simplify right side
    3,456.81x = 6,578,738.71
  5. Step 5: Solve for x
    x = 6,578,738.71/3,456.81
  6. Step 6: Final answer
    x = 1,903.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.