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Finding the Fourth Proportional to 5,462.42, 8,191.94 and 2,829.11

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Solution

The fourth proportional to 5,462.42, 8,191.94 and 2,829.11 is: 4,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.42 : 8,191.94 = 2,829.11 : x
  2. Step 2: Convert to fraction form
    5,462.42/8,191.94 = 2,829.11/x
  3. Step 3: Cross multiply
    5,462.42x = 8,191.94 × 2,829.11
  4. Step 4: Simplify right side
    5,462.42x = 23,175,844.27
  5. Step 5: Solve for x
    x = 23,175,844.27/5,462.42
  6. Step 6: Final answer
    x = 4,242.78

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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.