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Finding the Fourth Proportional to 3,464.87, 5,197.30 and 867.81

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Solution

The fourth proportional to 3,464.87, 5,197.30 and 867.81 is: 1,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.87 : 5,197.30 = 867.81 : x
  2. Step 2: Convert to fraction form
    3,464.87/5,197.30 = 867.81/x
  3. Step 3: Cross multiply
    3,464.87x = 5,197.30 × 867.81
  4. Step 4: Simplify right side
    3,464.87x = 4,510,242.93
  5. Step 5: Solve for x
    x = 4,510,242.93/3,464.87
  6. Step 6: Final answer
    x = 1,301.71

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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.