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Finding the Fourth Proportional to 3.94, 5.89 and 3.57

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Solution

The fourth proportional to 3.94, 5.89 and 3.57 is: 5.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.94 : 5.89 = 3.57 : x
  2. Step 2: Convert to fraction form
    3.94/5.89 = 3.57/x
  3. Step 3: Cross multiply
    3.94x = 5.89 × 3.57
  4. Step 4: Simplify right side
    3.94x = 21.03
  5. Step 5: Solve for x
    x = 21.03/3.94
  6. Step 6: Final answer
    x = 5.34

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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.