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Finding the Fourth Proportional to 4,107.31, 5,662.49 and 2,988.30

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Solution

The fourth proportional to 4,107.31, 5,662.49 and 2,988.30 is: 4,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.31 : 5,662.49 = 2,988.30 : x
  2. Step 2: Convert to fraction form
    4,107.31/5,662.49 = 2,988.30/x
  3. Step 3: Cross multiply
    4,107.31x = 5,662.49 × 2,988.30
  4. Step 4: Simplify right side
    4,107.31x = 16,921,218.87
  5. Step 5: Solve for x
    x = 16,921,218.87/4,107.31
  6. Step 6: Final answer
    x = 4,119.78

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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.