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Finding the Fourth Proportional to 5,878.91, 8,821.80 and 2,183.69

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Solution

The fourth proportional to 5,878.91, 8,821.80 and 2,183.69 is: 3,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.91 : 8,821.80 = 2,183.69 : x
  2. Step 2: Convert to fraction form
    5,878.91/8,821.80 = 2,183.69/x
  3. Step 3: Cross multiply
    5,878.91x = 8,821.80 × 2,183.69
  4. Step 4: Simplify right side
    5,878.91x = 19,264,098.50
  5. Step 5: Solve for x
    x = 19,264,098.50/5,878.91
  6. Step 6: Final answer
    x = 3,276.81

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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.