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Finding the Fourth Proportional to 5,671.14, 7,823.62 and 3,311.88

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Solution

The fourth proportional to 5,671.14, 7,823.62 and 3,311.88 is: 4,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.14 : 7,823.62 = 3,311.88 : x
  2. Step 2: Convert to fraction form
    5,671.14/7,823.62 = 3,311.88/x
  3. Step 3: Cross multiply
    5,671.14x = 7,823.62 × 3,311.88
  4. Step 4: Simplify right side
    5,671.14x = 25,910,834.93
  5. Step 5: Solve for x
    x = 25,910,834.93/5,671.14
  6. Step 6: Final answer
    x = 4,568.90

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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.