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Finding the Fourth Proportional to 5.71, 7.84 and 5.02

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Solution

The fourth proportional to 5.71, 7.84 and 5.02 is: 6.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.71 : 7.84 = 5.02 : x
  2. Step 2: Convert to fraction form
    5.71/7.84 = 5.02/x
  3. Step 3: Cross multiply
    5.71x = 7.84 × 5.02
  4. Step 4: Simplify right side
    5.71x = 39.36
  5. Step 5: Solve for x
    x = 39.36/5.71
  6. Step 6: Final answer
    x = 6.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.