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Finding the Fourth Proportional to 5.47, 8.22 and 4.57

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Solution

The fourth proportional to 5.47, 8.22 and 4.57 is: 6.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.47 : 8.22 = 4.57 : x
  2. Step 2: Convert to fraction form
    5.47/8.22 = 4.57/x
  3. Step 3: Cross multiply
    5.47x = 8.22 × 4.57
  4. Step 4: Simplify right side
    5.47x = 37.57
  5. Step 5: Solve for x
    x = 37.57/5.47
  6. Step 6: Final answer
    x = 6.87

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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.