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Finding the Fourth Proportional to 5.76, 7.94 and 4.94

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Solution

The fourth proportional to 5.76, 7.94 and 4.94 is: 6.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.76 : 7.94 = 4.94 : x
  2. Step 2: Convert to fraction form
    5.76/7.94 = 4.94/x
  3. Step 3: Cross multiply
    5.76x = 7.94 × 4.94
  4. Step 4: Simplify right side
    5.76x = 39.22
  5. Step 5: Solve for x
    x = 39.22/5.76
  6. Step 6: Final answer
    x = 6.81

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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.