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Finding the Fourth Proportional to 5,468.50, 8,208.22 and 2,876.91

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Solution

The fourth proportional to 5,468.50, 8,208.22 and 2,876.91 is: 4,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.50 : 8,208.22 = 2,876.91 : x
  2. Step 2: Convert to fraction form
    5,468.50/8,208.22 = 2,876.91/x
  3. Step 3: Cross multiply
    5,468.50x = 8,208.22 × 2,876.91
  4. Step 4: Simplify right side
    5,468.50x = 23,614,310.20
  5. Step 5: Solve for x
    x = 23,614,310.20/5,468.50
  6. Step 6: Final answer
    x = 4,318.24

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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.