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Finding the Fourth Proportional to 5,807.13, 8,706.82 and 2,108.88

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Solution

The fourth proportional to 5,807.13, 8,706.82 and 2,108.88 is: 3,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.13 : 8,706.82 = 2,108.88 : x
  2. Step 2: Convert to fraction form
    5,807.13/8,706.82 = 2,108.88/x
  3. Step 3: Cross multiply
    5,807.13x = 8,706.82 × 2,108.88
  4. Step 4: Simplify right side
    5,807.13x = 18,361,638.56
  5. Step 5: Solve for x
    x = 18,361,638.56/5,807.13
  6. Step 6: Final answer
    x = 3,161.91

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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.