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Finding the Fourth Proportional to 3,382.81, 5,071.92 and 1,191.25

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Solution

The fourth proportional to 3,382.81, 5,071.92 and 1,191.25 is: 1,786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.81 : 5,071.92 = 1,191.25 : x
  2. Step 2: Convert to fraction form
    3,382.81/5,071.92 = 1,191.25/x
  3. Step 3: Cross multiply
    3,382.81x = 5,071.92 × 1,191.25
  4. Step 4: Simplify right side
    3,382.81x = 6,041,924.70
  5. Step 5: Solve for x
    x = 6,041,924.70/3,382.81
  6. Step 6: Final answer
    x = 1,786.07

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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.