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Finding the Fourth Proportional to 3,192.56, 4,778.93 and 1,728.08

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Solution

The fourth proportional to 3,192.56, 4,778.93 and 1,728.08 is: 2,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.56 : 4,778.93 = 1,728.08 : x
  2. Step 2: Convert to fraction form
    3,192.56/4,778.93 = 1,728.08/x
  3. Step 3: Cross multiply
    3,192.56x = 4,778.93 × 1,728.08
  4. Step 4: Simplify right side
    3,192.56x = 8,258,353.78
  5. Step 5: Solve for x
    x = 8,258,353.78/3,192.56
  6. Step 6: Final answer
    x = 2,586.75

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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.