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Finding the Fourth Proportional to 4,979, 6,871.02 and 2,771

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Solution

The fourth proportional to 4,979, 6,871.02 and 2,771 is: 3,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,979 : 6,871.02 = 2,771 : x
  2. Step 2: Convert to fraction form
    4,979/6,871.02 = 2,771/x
  3. Step 3: Cross multiply
    4,979x = 6,871.02 × 2,771
  4. Step 4: Simplify right side
    4,979x = 19,039,596.42
  5. Step 5: Solve for x
    x = 19,039,596.42/4,979
  6. Step 6: Final answer
    x = 3,823.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.