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Finding the Fourth Proportional to 3,305.71, 4,958.87 and 1,114.46

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Solution

The fourth proportional to 3,305.71, 4,958.87 and 1,114.46 is: 1,671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.71 : 4,958.87 = 1,114.46 : x
  2. Step 2: Convert to fraction form
    3,305.71/4,958.87 = 1,114.46/x
  3. Step 3: Cross multiply
    3,305.71x = 4,958.87 × 1,114.46
  4. Step 4: Simplify right side
    3,305.71x = 5,526,456.76
  5. Step 5: Solve for x
    x = 5,526,456.76/3,305.71
  6. Step 6: Final answer
    x = 1,671.79

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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.