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Finding the Fourth Proportional to 3.80, 5.24 and 2.59

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Solution

The fourth proportional to 3.80, 5.24 and 2.59 is: 3.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.80 : 5.24 = 2.59 : x
  2. Step 2: Convert to fraction form
    3.80/5.24 = 2.59/x
  3. Step 3: Cross multiply
    3.80x = 5.24 × 2.59
  4. Step 4: Simplify right side
    3.80x = 13.56
  5. Step 5: Solve for x
    x = 13.56/3.80
  6. Step 6: Final answer
    x = 3.57

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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.