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Finding the Fourth Proportional to 3,808.24, 5,712.90 and 1,728.92

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Solution

The fourth proportional to 3,808.24, 5,712.90 and 1,728.92 is: 2,593.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.24 : 5,712.90 = 1,728.92 : x
  2. Step 2: Convert to fraction form
    3,808.24/5,712.90 = 1,728.92/x
  3. Step 3: Cross multiply
    3,808.24x = 5,712.90 × 1,728.92
  4. Step 4: Simplify right side
    3,808.24x = 9,877,147.07
  5. Step 5: Solve for x
    x = 9,877,147.07/3,808.24
  6. Step 6: Final answer
    x = 2,593.63

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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.