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Finding the Fourth Proportional to 4.83, 7.23 and 3.77

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Solution

The fourth proportional to 4.83, 7.23 and 3.77 is: 5.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.83 : 7.23 = 3.77 : x
  2. Step 2: Convert to fraction form
    4.83/7.23 = 3.77/x
  3. Step 3: Cross multiply
    4.83x = 7.23 × 3.77
  4. Step 4: Simplify right side
    4.83x = 27.24
  5. Step 5: Solve for x
    x = 27.24/4.83
  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.