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Finding the Fourth Proportional to 3,540.97, 4,885.54 and 2,048.68

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Solution

The fourth proportional to 3,540.97, 4,885.54 and 2,048.68 is: 2,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.97 : 4,885.54 = 2,048.68 : x
  2. Step 2: Convert to fraction form
    3,540.97/4,885.54 = 2,048.68/x
  3. Step 3: Cross multiply
    3,540.97x = 4,885.54 × 2,048.68
  4. Step 4: Simplify right side
    3,540.97x = 10,008,908.09
  5. Step 5: Solve for x
    x = 10,008,908.09/3,540.97
  6. Step 6: Final answer
    x = 2,826.60

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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.