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Finding the Fourth Proportional to 3,540.53, 4,886.54 and 2,049.36

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Solution

The fourth proportional to 3,540.53, 4,886.54 and 2,049.36 is: 2,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.53 : 4,886.54 = 2,049.36 : x
  2. Step 2: Convert to fraction form
    3,540.53/4,886.54 = 2,049.36/x
  3. Step 3: Cross multiply
    3,540.53x = 4,886.54 × 2,049.36
  4. Step 4: Simplify right side
    3,540.53x = 10,014,244.93
  5. Step 5: Solve for x
    x = 10,014,244.93/3,540.53
  6. Step 6: Final answer
    x = 2,828.46

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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.