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Finding the Fourth Proportional to 3,540.48, 4,886.02 and 2,048.46

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Solution

The fourth proportional to 3,540.48, 4,886.02 and 2,048.46 is: 2,826.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.48 : 4,886.02 = 2,048.46 : x
  2. Step 2: Convert to fraction form
    3,540.48/4,886.02 = 2,048.46/x
  3. Step 3: Cross multiply
    3,540.48x = 4,886.02 × 2,048.46
  4. Step 4: Simplify right side
    3,540.48x = 10,008,816.53
  5. Step 5: Solve for x
    x = 10,008,816.53/3,540.48
  6. Step 6: Final answer
    x = 2,826.97

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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.