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Finding the Fourth Proportional to 5,128.68, 7,697.16 and 2,664.24

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Solution

The fourth proportional to 5,128.68, 7,697.16 and 2,664.24 is: 3,998.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.68 : 7,697.16 = 2,664.24 : x
  2. Step 2: Convert to fraction form
    5,128.68/7,697.16 = 2,664.24/x
  3. Step 3: Cross multiply
    5,128.68x = 7,697.16 × 2,664.24
  4. Step 4: Simplify right side
    5,128.68x = 20,507,081.56
  5. Step 5: Solve for x
    x = 20,507,081.56/5,128.68
  6. Step 6: Final answer
    x = 3,998.51

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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.