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Finding the Fourth Proportional to 3,454.22, 5,179.71 and 1,809.11

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Solution

The fourth proportional to 3,454.22, 5,179.71 and 1,809.11 is: 2,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.22 : 5,179.71 = 1,809.11 : x
  2. Step 2: Convert to fraction form
    3,454.22/5,179.71 = 1,809.11/x
  3. Step 3: Cross multiply
    3,454.22x = 5,179.71 × 1,809.11
  4. Step 4: Simplify right side
    3,454.22x = 9,370,665.16
  5. Step 5: Solve for x
    x = 9,370,665.16/3,454.22
  6. Step 6: Final answer
    x = 2,712.82

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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.