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Finding the Fourth Proportional to 3,464.55, 5,196.83 and 867.49

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Solution

The fourth proportional to 3,464.55, 5,196.83 and 867.49 is: 1,301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.55 : 5,196.83 = 867.49 : x
  2. Step 2: Convert to fraction form
    3,464.55/5,196.83 = 867.49/x
  3. Step 3: Cross multiply
    3,464.55x = 5,196.83 × 867.49
  4. Step 4: Simplify right side
    3,464.55x = 4,508,198.06
  5. Step 5: Solve for x
    x = 4,508,198.06/3,464.55
  6. Step 6: Final answer
    x = 1,301.24

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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.