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Finding the Fourth Proportional to 3.47, 5.24 and 3.39

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Solution

The fourth proportional to 3.47, 5.24 and 3.39 is: 5.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.47 : 5.24 = 3.39 : x
  2. Step 2: Convert to fraction form
    3.47/5.24 = 3.39/x
  3. Step 3: Cross multiply
    3.47x = 5.24 × 3.39
  4. Step 4: Simplify right side
    3.47x = 17.76
  5. Step 5: Solve for x
    x = 17.76/3.47
  6. Step 6: Final answer
    x = 5.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.