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Finding the Fourth Proportional to 3.63, 5.01 and 2.82

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Solution

The fourth proportional to 3.63, 5.01 and 2.82 is: 3.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.63 : 5.01 = 2.82 : x
  2. Step 2: Convert to fraction form
    3.63/5.01 = 2.82/x
  3. Step 3: Cross multiply
    3.63x = 5.01 × 2.82
  4. Step 4: Simplify right side
    3.63x = 14.13
  5. Step 5: Solve for x
    x = 14.13/3.63
  6. Step 6: Final answer
    x = 3.89

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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.