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Finding the Fourth Proportional to 4.56, 6.29 and 3.78

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Solution

The fourth proportional to 4.56, 6.29 and 3.78 is: 5.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.56 : 6.29 = 3.78 : x
  2. Step 2: Convert to fraction form
    4.56/6.29 = 3.78/x
  3. Step 3: Cross multiply
    4.56x = 6.29 × 3.78
  4. Step 4: Simplify right side
    4.56x = 23.77
  5. Step 5: Solve for x
    x = 23.77/4.56
  6. Step 6: Final answer
    x = 5.21

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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.