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Finding the Fourth Proportional to 5,874.62, 8,813.16 and 2,176.88

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Solution

The fourth proportional to 5,874.62, 8,813.16 and 2,176.88 is: 3,265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.62 : 8,813.16 = 2,176.88 : x
  2. Step 2: Convert to fraction form
    5,874.62/8,813.16 = 2,176.88/x
  3. Step 3: Cross multiply
    5,874.62x = 8,813.16 × 2,176.88
  4. Step 4: Simplify right side
    5,874.62x = 19,185,147.68
  5. Step 5: Solve for x
    x = 19,185,147.68/5,874.62
  6. Step 6: Final answer
    x = 3,265.77

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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.