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Finding the Fourth Proportional to 3,865.08, 5,797.62 and 943.38

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Solution

The fourth proportional to 3,865.08, 5,797.62 and 943.38 is: 1,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.08 : 5,797.62 = 943.38 : x
  2. Step 2: Convert to fraction form
    3,865.08/5,797.62 = 943.38/x
  3. Step 3: Cross multiply
    3,865.08x = 5,797.62 × 943.38
  4. Step 4: Simplify right side
    3,865.08x = 5,469,358.76
  5. Step 5: Solve for x
    x = 5,469,358.76/3,865.08
  6. Step 6: Final answer
    x = 1,415.07

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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.