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Finding the Fourth Proportional to 5,339.16, 7,367.82 and 3,769.38

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Solution

The fourth proportional to 5,339.16, 7,367.82 and 3,769.38 is: 5,201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.16 : 7,367.82 = 3,769.38 : x
  2. Step 2: Convert to fraction form
    5,339.16/7,367.82 = 3,769.38/x
  3. Step 3: Cross multiply
    5,339.16x = 7,367.82 × 3,769.38
  4. Step 4: Simplify right side
    5,339.16x = 27,772,113.35
  5. Step 5: Solve for x
    x = 27,772,113.35/5,339.16
  6. Step 6: Final answer
    x = 5,201.59

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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.