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Finding the Fourth Proportional to 5,862.72, 8,791.44 and 2,164.32

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Solution

The fourth proportional to 5,862.72, 8,791.44 and 2,164.32 is: 3,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.72 : 8,791.44 = 2,164.32 : x
  2. Step 2: Convert to fraction form
    5,862.72/8,791.44 = 2,164.32/x
  3. Step 3: Cross multiply
    5,862.72x = 8,791.44 × 2,164.32
  4. Step 4: Simplify right side
    5,862.72x = 19,027,489.42
  5. Step 5: Solve for x
    x = 19,027,489.42/5,862.72
  6. Step 6: Final answer
    x = 3,245.51

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1.5x scale

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.