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Finding the Fourth Proportional to 5,153.67, 7,728.99 and 2,687.22

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Solution

The fourth proportional to 5,153.67, 7,728.99 and 2,687.22 is: 4,030.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.67 : 7,728.99 = 2,687.22 : x
  2. Step 2: Convert to fraction form
    5,153.67/7,728.99 = 2,687.22/x
  3. Step 3: Cross multiply
    5,153.67x = 7,728.99 × 2,687.22
  4. Step 4: Simplify right side
    5,153.67x = 20,769,496.51
  5. Step 5: Solve for x
    x = 20,769,496.51/5,153.67
  6. Step 6: Final answer
    x = 4,030.04

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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.