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Finding the Fourth Proportional to 6,201.38, 8,558.45 and 3,407.42

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Solution

The fourth proportional to 6,201.38, 8,558.45 and 3,407.42 is: 4,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.38 : 8,558.45 = 3,407.42 : x
  2. Step 2: Convert to fraction form
    6,201.38/8,558.45 = 3,407.42/x
  3. Step 3: Cross multiply
    6,201.38x = 8,558.45 × 3,407.42
  4. Step 4: Simplify right side
    6,201.38x = 29,162,173.87
  5. Step 5: Solve for x
    x = 29,162,173.87/6,201.38
  6. Step 6: Final answer
    x = 4,702.53

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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.