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Finding the Fourth Proportional to 5,843.72, 8,767.02 and 2,765

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Solution

The fourth proportional to 5,843.72, 8,767.02 and 2,765 is: 4,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.72 : 8,767.02 = 2,765 : x
  2. Step 2: Convert to fraction form
    5,843.72/8,767.02 = 2,765/x
  3. Step 3: Cross multiply
    5,843.72x = 8,767.02 × 2,765
  4. Step 4: Simplify right side
    5,843.72x = 24,240,810.30
  5. Step 5: Solve for x
    x = 24,240,810.30/5,843.72
  6. Step 6: Final answer
    x = 4,148.18

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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.