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Finding the Fourth Proportional to 4,906.24, 7,361.92 and 2,713.60

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Solution

The fourth proportional to 4,906.24, 7,361.92 and 2,713.60 is: 4,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.24 : 7,361.92 = 2,713.60 : x
  2. Step 2: Convert to fraction form
    4,906.24/7,361.92 = 2,713.60/x
  3. Step 3: Cross multiply
    4,906.24x = 7,361.92 × 2,713.60
  4. Step 4: Simplify right side
    4,906.24x = 19,977,306.11
  5. Step 5: Solve for x
    x = 19,977,306.11/4,906.24
  6. Step 6: Final answer
    x = 4,071.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.