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Finding the Fourth Proportional to 5,836.90, 8,753 and 2,138.08

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Solution

The fourth proportional to 5,836.90, 8,753 and 2,138.08 is: 3,206.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.90 : 8,753 = 2,138.08 : x
  2. Step 2: Convert to fraction form
    5,836.90/8,753 = 2,138.08/x
  3. Step 3: Cross multiply
    5,836.90x = 8,753 × 2,138.08
  4. Step 4: Simplify right side
    5,836.90x = 18,714,614.24
  5. Step 5: Solve for x
    x = 18,714,614.24/5,836.90
  6. Step 6: Final answer
    x = 3,206.26

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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.