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Finding the Fourth Proportional to 5,832.78, 8,052.22 and 3,954.30

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Solution

The fourth proportional to 5,832.78, 8,052.22 and 3,954.30 is: 5,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.78 : 8,052.22 = 3,954.30 : x
  2. Step 2: Convert to fraction form
    5,832.78/8,052.22 = 3,954.30/x
  3. Step 3: Cross multiply
    5,832.78x = 8,052.22 × 3,954.30
  4. Step 4: Simplify right side
    5,832.78x = 31,840,893.55
  5. Step 5: Solve for x
    x = 31,840,893.55/5,832.78
  6. Step 6: Final answer
    x = 5,458.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.