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Finding the Fourth Proportional to 4,868, 6,717.84 and 3,006.56

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Solution

The fourth proportional to 4,868, 6,717.84 and 3,006.56 is: 4,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868 : 6,717.84 = 3,006.56 : x
  2. Step 2: Convert to fraction form
    4,868/6,717.84 = 3,006.56/x
  3. Step 3: Cross multiply
    4,868x = 6,717.84 × 3,006.56
  4. Step 4: Simplify right side
    4,868x = 20,197,589.03
  5. Step 5: Solve for x
    x = 20,197,589.03/4,868
  6. Step 6: Final answer
    x = 4,149.05

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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.