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Finding the Fourth Proportional to 3,305.87, 4,959.93 and 2,071.80

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Solution

The fourth proportional to 3,305.87, 4,959.93 and 2,071.80 is: 3,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.87 : 4,959.93 = 2,071.80 : x
  2. Step 2: Convert to fraction form
    3,305.87/4,959.93 = 2,071.80/x
  3. Step 3: Cross multiply
    3,305.87x = 4,959.93 × 2,071.80
  4. Step 4: Simplify right side
    3,305.87x = 10,275,982.97
  5. Step 5: Solve for x
    x = 10,275,982.97/3,305.87
  6. Step 6: Final answer
    x = 3,108.41

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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.