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Finding the Fourth Proportional to 6,237.38, 8,609.82 and 5,349.62

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Solution

The fourth proportional to 6,237.38, 8,609.82 and 5,349.62 is: 7,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.38 : 8,609.82 = 5,349.62 : x
  2. Step 2: Convert to fraction form
    6,237.38/8,609.82 = 5,349.62/x
  3. Step 3: Cross multiply
    6,237.38x = 8,609.82 × 5,349.62
  4. Step 4: Simplify right side
    6,237.38x = 46,059,265.27
  5. Step 5: Solve for x
    x = 46,059,265.27/6,237.38
  6. Step 6: Final answer
    x = 7,384.39

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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.