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Finding the Fourth Proportional to 5,937.22, 8,184.81 and 4,163.32

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Solution

The fourth proportional to 5,937.22, 8,184.81 and 4,163.32 is: 5,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.22 : 8,184.81 = 4,163.32 : x
  2. Step 2: Convert to fraction form
    5,937.22/8,184.81 = 4,163.32/x
  3. Step 3: Cross multiply
    5,937.22x = 8,184.81 × 4,163.32
  4. Step 4: Simplify right side
    5,937.22x = 34,075,983.17
  5. Step 5: Solve for x
    x = 34,075,983.17/5,937.22
  6. Step 6: Final answer
    x = 5,739.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.