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Finding the Fourth Proportional to 5.41, 7.46 and 3.56

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Solution

The fourth proportional to 5.41, 7.46 and 3.56 is: 4.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.41 : 7.46 = 3.56 : x
  2. Step 2: Convert to fraction form
    5.41/7.46 = 3.56/x
  3. Step 3: Cross multiply
    5.41x = 7.46 × 3.56
  4. Step 4: Simplify right side
    5.41x = 26.56
  5. Step 5: Solve for x
    x = 26.56/5.41
  6. Step 6: Final answer
    x = 4.91

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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.