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Finding the Fourth Proportional to 5.86, 8.09 and 5.38

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Solution

The fourth proportional to 5.86, 8.09 and 5.38 is: 7.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.86 : 8.09 = 5.38 : x
  2. Step 2: Convert to fraction form
    5.86/8.09 = 5.38/x
  3. Step 3: Cross multiply
    5.86x = 8.09 × 5.38
  4. Step 4: Simplify right side
    5.86x = 43.46
  5. Step 5: Solve for x
    x = 43.46/5.86
  6. Step 6: Final answer
    x = 7.42

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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.