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Finding the Fourth Proportional to 3,863.86, 5,797.62 and 1,398.02

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Solution

The fourth proportional to 3,863.86, 5,797.62 and 1,398.02 is: 2,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.86 : 5,797.62 = 1,398.02 : x
  2. Step 2: Convert to fraction form
    3,863.86/5,797.62 = 1,398.02/x
  3. Step 3: Cross multiply
    3,863.86x = 5,797.62 × 1,398.02
  4. Step 4: Simplify right side
    3,863.86x = 8,105,188.71
  5. Step 5: Solve for x
    x = 8,105,188.71/3,863.86
  6. Step 6: Final answer
    x = 2,097.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.