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Finding the Fourth Proportional to 3,471.19, 5,205.94 and 1,391.65

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Solution

The fourth proportional to 3,471.19, 5,205.94 and 1,391.65 is: 2,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.19 : 5,205.94 = 1,391.65 : x
  2. Step 2: Convert to fraction form
    3,471.19/5,205.94 = 1,391.65/x
  3. Step 3: Cross multiply
    3,471.19x = 5,205.94 × 1,391.65
  4. Step 4: Simplify right side
    3,471.19x = 7,244,829.91
  5. Step 5: Solve for x
    x = 7,244,829.91/3,471.19
  6. Step 6: Final answer
    x = 2,087.13

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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.