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Finding the Fourth Proportional to 3,969.30, 5,482.31 and 2,640.63

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Solution

The fourth proportional to 3,969.30, 5,482.31 and 2,640.63 is: 3,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.30 : 5,482.31 = 2,640.63 : x
  2. Step 2: Convert to fraction form
    3,969.30/5,482.31 = 2,640.63/x
  3. Step 3: Cross multiply
    3,969.30x = 5,482.31 × 2,640.63
  4. Step 4: Simplify right side
    3,969.30x = 14,476,739.05
  5. Step 5: Solve for x
    x = 14,476,739.05/3,969.30
  6. Step 6: Final answer
    x = 3,647.18

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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.