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Finding the Fourth Proportional to 3,809.08, 5,707.10 and 2,078.92

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Solution

The fourth proportional to 3,809.08, 5,707.10 and 2,078.92 is: 3,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.08 : 5,707.10 = 2,078.92 : x
  2. Step 2: Convert to fraction form
    3,809.08/5,707.10 = 2,078.92/x
  3. Step 3: Cross multiply
    3,809.08x = 5,707.10 × 2,078.92
  4. Step 4: Simplify right side
    3,809.08x = 11,864,604.33
  5. Step 5: Solve for x
    x = 11,864,604.33/3,809.08
  6. Step 6: Final answer
    x = 3,114.82

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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.