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Finding the Fourth Proportional to 5.69, 7.85 and 3.53

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Solution

The fourth proportional to 5.69, 7.85 and 3.53 is: 4.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.69 : 7.85 = 3.53 : x
  2. Step 2: Convert to fraction form
    5.69/7.85 = 3.53/x
  3. Step 3: Cross multiply
    5.69x = 7.85 × 3.53
  4. Step 4: Simplify right side
    5.69x = 27.71
  5. Step 5: Solve for x
    x = 27.71/5.69
  6. Step 6: Final answer
    x = 4.87

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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.