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Finding the Fourth Proportional to 3,394.65, 5,091.87 and 2,291.32

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Solution

The fourth proportional to 3,394.65, 5,091.87 and 2,291.32 is: 3,436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.65 : 5,091.87 = 2,291.32 : x
  2. Step 2: Convert to fraction form
    3,394.65/5,091.87 = 2,291.32/x
  3. Step 3: Cross multiply
    3,394.65x = 5,091.87 × 2,291.32
  4. Step 4: Simplify right side
    3,394.65x = 11,667,080.93
  5. Step 5: Solve for x
    x = 11,667,080.93/3,394.65
  6. Step 6: Final answer
    x = 3,436.91

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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.