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Finding the Fourth Proportional to 6,200.72, 8,557.08 and 3,512.06

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Solution

The fourth proportional to 6,200.72, 8,557.08 and 3,512.06 is: 4,846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.72 : 8,557.08 = 3,512.06 : x
  2. Step 2: Convert to fraction form
    6,200.72/8,557.08 = 3,512.06/x
  3. Step 3: Cross multiply
    6,200.72x = 8,557.08 × 3,512.06
  4. Step 4: Simplify right side
    6,200.72x = 30,052,978.38
  5. Step 5: Solve for x
    x = 30,052,978.38/6,200.72
  6. Step 6: Final answer
    x = 4,846.69

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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.