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Finding the Fourth Proportional to 5,728.68, 8,588.16 and 2,268.36

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Solution

The fourth proportional to 5,728.68, 8,588.16 and 2,268.36 is: 3,400.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.68 : 8,588.16 = 2,268.36 : x
  2. Step 2: Convert to fraction form
    5,728.68/8,588.16 = 2,268.36/x
  3. Step 3: Cross multiply
    5,728.68x = 8,588.16 × 2,268.36
  4. Step 4: Simplify right side
    5,728.68x = 19,481,038.62
  5. Step 5: Solve for x
    x = 19,481,038.62/5,728.68
  6. Step 6: Final answer
    x = 3,400.62

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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.