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Finding the Fourth Proportional to 3,464.74, 5,197.20 and 867.70

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Solution

The fourth proportional to 3,464.74, 5,197.20 and 867.70 is: 1,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.74 : 5,197.20 = 867.70 : x
  2. Step 2: Convert to fraction form
    3,464.74/5,197.20 = 867.70/x
  3. Step 3: Cross multiply
    3,464.74x = 5,197.20 × 867.70
  4. Step 4: Simplify right side
    3,464.74x = 4,509,610.44
  5. Step 5: Solve for x
    x = 4,509,610.44/3,464.74
  6. Step 6: Final answer
    x = 1,301.57

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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.