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Finding the Fourth Proportional to 3,660.66, 5,464.67 and 3,134.97

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Solution

The fourth proportional to 3,660.66, 5,464.67 and 3,134.97 is: 4,679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.66 : 5,464.67 = 3,134.97 : x
  2. Step 2: Convert to fraction form
    3,660.66/5,464.67 = 3,134.97/x
  3. Step 3: Cross multiply
    3,660.66x = 5,464.67 × 3,134.97
  4. Step 4: Simplify right side
    3,660.66x = 17,131,560.84
  5. Step 5: Solve for x
    x = 17,131,560.84/3,660.66
  6. Step 6: Final answer
    x = 4,679.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.