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Finding the Fourth Proportional to 4,107.67, 5,662.65 and 3,268.72

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Solution

The fourth proportional to 4,107.67, 5,662.65 and 3,268.72 is: 4,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.67 : 5,662.65 = 3,268.72 : x
  2. Step 2: Convert to fraction form
    4,107.67/5,662.65 = 3,268.72/x
  3. Step 3: Cross multiply
    4,107.67x = 5,662.65 × 3,268.72
  4. Step 4: Simplify right side
    4,107.67x = 18,509,617.31
  5. Step 5: Solve for x
    x = 18,509,617.31/4,107.67
  6. Step 6: Final answer
    x = 4,506.11

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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.