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Finding the Fourth Proportional to 4.49, 6.17 and 3.57

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Solution

The fourth proportional to 4.49, 6.17 and 3.57 is: 4.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.49 : 6.17 = 3.57 : x
  2. Step 2: Convert to fraction form
    4.49/6.17 = 3.57/x
  3. Step 3: Cross multiply
    4.49x = 6.17 × 3.57
  4. Step 4: Simplify right side
    4.49x = 22.01
  5. Step 5: Solve for x
    x = 22.01/4.49
  6. Step 6: Final answer
    x = 4.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.