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Finding the Fourth Proportional to 5,843.76, 8,765.80 and 2,381.04

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Solution

The fourth proportional to 5,843.76, 8,765.80 and 2,381.04 is: 3,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.76 : 8,765.80 = 2,381.04 : x
  2. Step 2: Convert to fraction form
    5,843.76/8,765.80 = 2,381.04/x
  3. Step 3: Cross multiply
    5,843.76x = 8,765.80 × 2,381.04
  4. Step 4: Simplify right side
    5,843.76x = 20,871,720.43
  5. Step 5: Solve for x
    x = 20,871,720.43/5,843.76
  6. Step 6: Final answer
    x = 3,571.63

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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.