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Finding the Fourth Proportional to 5.97, 8.21 and 5.74

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Solution

The fourth proportional to 5.97, 8.21 and 5.74 is: 7.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.97 : 8.21 = 5.74 : x
  2. Step 2: Convert to fraction form
    5.97/8.21 = 5.74/x
  3. Step 3: Cross multiply
    5.97x = 8.21 × 5.74
  4. Step 4: Simplify right side
    5.97x = 47.12
  5. Step 5: Solve for x
    x = 47.12/5.97
  6. Step 6: Final answer
    x = 7.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.