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Finding the Fourth Proportional to 4.00, 6 and 3.76

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Solution

The fourth proportional to 4.00, 6 and 3.76 is: 5.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.00 : 6 = 3.76 : x
  2. Step 2: Convert to fraction form
    4.00/6 = 3.76/x
  3. Step 3: Cross multiply
    4.00x = 6 × 3.76
  4. Step 4: Simplify right side
    4.00x = 22.53
  5. Step 5: Solve for x
    x = 22.53/4.00
  6. Step 6: Final answer
    x = 5.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.