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Finding the Fourth Proportional to 3,891.19, 5,834.89 and 1,293.25

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Solution

The fourth proportional to 3,891.19, 5,834.89 and 1,293.25 is: 1,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.19 : 5,834.89 = 1,293.25 : x
  2. Step 2: Convert to fraction form
    3,891.19/5,834.89 = 1,293.25/x
  3. Step 3: Cross multiply
    3,891.19x = 5,834.89 × 1,293.25
  4. Step 4: Simplify right side
    3,891.19x = 7,545,971.49
  5. Step 5: Solve for x
    x = 7,545,971.49/3,891.19
  6. Step 6: Final answer
    x = 1,939.25

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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.