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Finding the Fourth Proportional to 5.79, 8.70 and 2.79

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Solution

The fourth proportional to 5.79, 8.70 and 2.79 is: 4.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.79 : 8.70 = 2.79 : x
  2. Step 2: Convert to fraction form
    5.79/8.70 = 2.79/x
  3. Step 3: Cross multiply
    5.79x = 8.70 × 2.79
  4. Step 4: Simplify right side
    5.79x = 24.22
  5. Step 5: Solve for x
    x = 24.22/5.79
  6. Step 6: Final answer
    x = 4.18

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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.