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Finding the Fourth Proportional to 4.02, 5.97 and 3.90

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Solution

The fourth proportional to 4.02, 5.97 and 3.90 is: 5.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.02 : 5.97 = 3.90 : x
  2. Step 2: Convert to fraction form
    4.02/5.97 = 3.90/x
  3. Step 3: Cross multiply
    4.02x = 5.97 × 3.90
  4. Step 4: Simplify right side
    4.02x = 23.23
  5. Step 5: Solve for x
    x = 23.23/4.02
  6. Step 6: Final answer
    x = 5.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.