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Finding the Fourth Proportional to 5,205.46, 7,796.56 and 4,027.44

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Solution

The fourth proportional to 5,205.46, 7,796.56 and 4,027.44 is: 6,032.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.46 : 7,796.56 = 4,027.44 : x
  2. Step 2: Convert to fraction form
    5,205.46/7,796.56 = 4,027.44/x
  3. Step 3: Cross multiply
    5,205.46x = 7,796.56 × 4,027.44
  4. Step 4: Simplify right side
    5,205.46x = 31,400,177.61
  5. Step 5: Solve for x
    x = 31,400,177.61/5,205.46
  6. Step 6: Final answer
    x = 6,032.16

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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.