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Finding the Fourth Proportional to 3,864.93, 5,797.40 and 943.24

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Solution

The fourth proportional to 3,864.93, 5,797.40 and 943.24 is: 1,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.93 : 5,797.40 = 943.24 : x
  2. Step 2: Convert to fraction form
    3,864.93/5,797.40 = 943.24/x
  3. Step 3: Cross multiply
    3,864.93x = 5,797.40 × 943.24
  4. Step 4: Simplify right side
    3,864.93x = 5,468,339.58
  5. Step 5: Solve for x
    x = 5,468,339.58/3,864.93
  6. Step 6: Final answer
    x = 1,414.86

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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.