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Finding the Fourth Proportional to 3,864.48, 5,794.82 and 1,398.92

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Solution

The fourth proportional to 3,864.48, 5,794.82 and 1,398.92 is: 2,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.48 : 5,794.82 = 1,398.92 : x
  2. Step 2: Convert to fraction form
    3,864.48/5,794.82 = 1,398.92/x
  3. Step 3: Cross multiply
    3,864.48x = 5,794.82 × 1,398.92
  4. Step 4: Simplify right side
    3,864.48x = 8,106,489.59
  5. Step 5: Solve for x
    x = 8,106,489.59/3,864.48
  6. Step 6: Final answer
    x = 2,097.69

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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.