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Finding the Fourth Proportional to 5.82, 8.70 and 4.12

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Solution

The fourth proportional to 5.82, 8.70 and 4.12 is: 6.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.82 : 8.70 = 4.12 : x
  2. Step 2: Convert to fraction form
    5.82/8.70 = 4.12/x
  3. Step 3: Cross multiply
    5.82x = 8.70 × 4.12
  4. Step 4: Simplify right side
    5.82x = 35.84
  5. Step 5: Solve for x
    x = 35.84/5.82
  6. Step 6: Final answer
    x = 6.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.