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Finding the Fourth Proportional to 5,723.39, 7,896.03 and 3,733.22

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Solution

The fourth proportional to 5,723.39, 7,896.03 and 3,733.22 is: 5,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.39 : 7,896.03 = 3,733.22 : x
  2. Step 2: Convert to fraction form
    5,723.39/7,896.03 = 3,733.22/x
  3. Step 3: Cross multiply
    5,723.39x = 7,896.03 × 3,733.22
  4. Step 4: Simplify right side
    5,723.39x = 29,477,617.12
  5. Step 5: Solve for x
    x = 29,477,617.12/5,723.39
  6. Step 6: Final answer
    x = 5,150.38

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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.