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Finding the Fourth Proportional to 3,382.97, 4,669.40 and 2,057.10

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Solution

The fourth proportional to 3,382.97, 4,669.40 and 2,057.10 is: 2,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.97 : 4,669.40 = 2,057.10 : x
  2. Step 2: Convert to fraction form
    3,382.97/4,669.40 = 2,057.10/x
  3. Step 3: Cross multiply
    3,382.97x = 4,669.40 × 2,057.10
  4. Step 4: Simplify right side
    3,382.97x = 9,605,398.80
  5. Step 5: Solve for x
    x = 9,605,398.80/3,382.97
  6. Step 6: Final answer
    x = 2,839.34

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Why These Related Problems?

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