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Finding the Fourth Proportional to 5,850.44, 8,777.84 and 3,512.12

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Solution

The fourth proportional to 5,850.44, 8,777.84 and 3,512.12 is: 5,269.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.44 : 8,777.84 = 3,512.12 : x
  2. Step 2: Convert to fraction form
    5,850.44/8,777.84 = 3,512.12/x
  3. Step 3: Cross multiply
    5,850.44x = 8,777.84 × 3,512.12
  4. Step 4: Simplify right side
    5,850.44x = 30,828,827.42
  5. Step 5: Solve for x
    x = 30,828,827.42/5,850.44
  6. Step 6: Final answer
    x = 5,269.49

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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.