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Finding the Fourth Proportional to 6,188.38, 8,541.47 and 3,537.34

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Solution

The fourth proportional to 6,188.38, 8,541.47 and 3,537.34 is: 4,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.38 : 8,541.47 = 3,537.34 : x
  2. Step 2: Convert to fraction form
    6,188.38/8,541.47 = 3,537.34/x
  3. Step 3: Cross multiply
    6,188.38x = 8,541.47 × 3,537.34
  4. Step 4: Simplify right side
    6,188.38x = 30,214,083.49
  5. Step 5: Solve for x
    x = 30,214,083.49/6,188.38
  6. Step 6: Final answer
    x = 4,882.39

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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.