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Finding the Fourth Proportional to 5,164.89, 7,728.19 and 3,086.03

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Solution

The fourth proportional to 5,164.89, 7,728.19 and 3,086.03 is: 4,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.89 : 7,728.19 = 3,086.03 : x
  2. Step 2: Convert to fraction form
    5,164.89/7,728.19 = 3,086.03/x
  3. Step 3: Cross multiply
    5,164.89x = 7,728.19 × 3,086.03
  4. Step 4: Simplify right side
    5,164.89x = 23,849,426.19
  5. Step 5: Solve for x
    x = 23,849,426.19/5,164.89
  6. Step 6: Final answer
    x = 4,617.61

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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.