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Finding the Fourth Proportional to 5,844.27, 8,767.13 and 2,381.07

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Solution

The fourth proportional to 5,844.27, 8,767.13 and 2,381.07 is: 3,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.27 : 8,767.13 = 2,381.07 : x
  2. Step 2: Convert to fraction form
    5,844.27/8,767.13 = 2,381.07/x
  3. Step 3: Cross multiply
    5,844.27x = 8,767.13 × 2,381.07
  4. Step 4: Simplify right side
    5,844.27x = 20,875,138.32
  5. Step 5: Solve for x
    x = 20,875,138.32/5,844.27
  6. Step 6: Final answer
    x = 3,571.90

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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.