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Finding the Fourth Proportional to 3,429.66, 4,735.24 and 2,252.72

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Solution

The fourth proportional to 3,429.66, 4,735.24 and 2,252.72 is: 3,110.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.66 : 4,735.24 = 2,252.72 : x
  2. Step 2: Convert to fraction form
    3,429.66/4,735.24 = 2,252.72/x
  3. Step 3: Cross multiply
    3,429.66x = 4,735.24 × 2,252.72
  4. Step 4: Simplify right side
    3,429.66x = 10,667,169.85
  5. Step 5: Solve for x
    x = 10,667,169.85/3,429.66
  6. Step 6: Final answer
    x = 3,110.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.