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Finding the Fourth Proportional to 4,847.28, 7,268.85 and 1,728.06

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Solution

The fourth proportional to 4,847.28, 7,268.85 and 1,728.06 is: 2,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.28 : 7,268.85 = 1,728.06 : x
  2. Step 2: Convert to fraction form
    4,847.28/7,268.85 = 1,728.06/x
  3. Step 3: Cross multiply
    4,847.28x = 7,268.85 × 1,728.06
  4. Step 4: Simplify right side
    4,847.28x = 12,561,008.93
  5. Step 5: Solve for x
    x = 12,561,008.93/4,847.28
  6. Step 6: Final answer
    x = 2,591.35

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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.