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Finding the Fourth Proportional to 5,941.38, 8,201.15 and 3,424.49

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Solution

The fourth proportional to 5,941.38, 8,201.15 and 3,424.49 is: 4,726.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.38 : 8,201.15 = 3,424.49 : x
  2. Step 2: Convert to fraction form
    5,941.38/8,201.15 = 3,424.49/x
  3. Step 3: Cross multiply
    5,941.38x = 8,201.15 × 3,424.49
  4. Step 4: Simplify right side
    5,941.38x = 28,084,768.11
  5. Step 5: Solve for x
    x = 28,084,768.11/5,941.38
  6. Step 6: Final answer
    x = 4,726.98

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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.