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Finding the Fourth Proportional to 4,148.42, 5,717.13 and 2,822.18

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Solution

The fourth proportional to 4,148.42, 5,717.13 and 2,822.18 is: 3,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.42 : 5,717.13 = 2,822.18 : x
  2. Step 2: Convert to fraction form
    4,148.42/5,717.13 = 2,822.18/x
  3. Step 3: Cross multiply
    4,148.42x = 5,717.13 × 2,822.18
  4. Step 4: Simplify right side
    4,148.42x = 16,134,769.94
  5. Step 5: Solve for x
    x = 16,134,769.94/4,148.42
  6. Step 6: Final answer
    x = 3,889.38

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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.