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Finding the Fourth Proportional to 3,864.16, 5,796.24 and 1,398.52

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Solution

The fourth proportional to 3,864.16, 5,796.24 and 1,398.52 is: 2,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.16 : 5,796.24 = 1,398.52 : x
  2. Step 2: Convert to fraction form
    3,864.16/5,796.24 = 1,398.52/x
  3. Step 3: Cross multiply
    3,864.16x = 5,796.24 × 1,398.52
  4. Step 4: Simplify right side
    3,864.16x = 8,106,157.56
  5. Step 5: Solve for x
    x = 8,106,157.56/3,864.16
  6. Step 6: Final answer
    x = 2,097.78

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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.