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Finding the Fourth Proportional to 5.22, 7.82 and 4.10

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Solution

The fourth proportional to 5.22, 7.82 and 4.10 is: 6.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.22 : 7.82 = 4.10 : x
  2. Step 2: Convert to fraction form
    5.22/7.82 = 4.10/x
  3. Step 3: Cross multiply
    5.22x = 7.82 × 4.10
  4. Step 4: Simplify right side
    5.22x = 32.00
  5. Step 5: Solve for x
    x = 32.00/5.22
  6. Step 6: Final answer
    x = 6.13

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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.