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Finding the Fourth Proportional to 4,912.56, 6,781.02 and 3,027.36

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Solution

The fourth proportional to 4,912.56, 6,781.02 and 3,027.36 is: 4,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.56 : 6,781.02 = 3,027.36 : x
  2. Step 2: Convert to fraction form
    4,912.56/6,781.02 = 3,027.36/x
  3. Step 3: Cross multiply
    4,912.56x = 6,781.02 × 3,027.36
  4. Step 4: Simplify right side
    4,912.56x = 20,528,588.71
  5. Step 5: Solve for x
    x = 20,528,588.71/4,912.56
  6. Step 6: Final answer
    x = 4,178.80

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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.