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Finding the Fourth Proportional to 3,211.96, 4,818.12 and 871.84

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Solution

The fourth proportional to 3,211.96, 4,818.12 and 871.84 is: 1,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.96 : 4,818.12 = 871.84 : x
  2. Step 2: Convert to fraction form
    3,211.96/4,818.12 = 871.84/x
  3. Step 3: Cross multiply
    3,211.96x = 4,818.12 × 871.84
  4. Step 4: Simplify right side
    3,211.96x = 4,200,629.74
  5. Step 5: Solve for x
    x = 4,200,629.74/3,211.96
  6. Step 6: Final answer
    x = 1,307.81

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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.