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Finding the Fourth Proportional to 3,540.64, 4,888.20 and 2,493.76

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Solution

The fourth proportional to 3,540.64, 4,888.20 and 2,493.76 is: 3,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.64 : 4,888.20 = 2,493.76 : x
  2. Step 2: Convert to fraction form
    3,540.64/4,888.20 = 2,493.76/x
  3. Step 3: Cross multiply
    3,540.64x = 4,888.20 × 2,493.76
  4. Step 4: Simplify right side
    3,540.64x = 12,189,997.63
  5. Step 5: Solve for x
    x = 12,189,997.63/3,540.64
  6. Step 6: Final answer
    x = 3,442.88

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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.