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Finding the Fourth Proportional to 5,738.39, 7,919.01 and 3,350.01

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Solution

The fourth proportional to 5,738.39, 7,919.01 and 3,350.01 is: 4,623.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.39 : 7,919.01 = 3,350.01 : x
  2. Step 2: Convert to fraction form
    5,738.39/7,919.01 = 3,350.01/x
  3. Step 3: Cross multiply
    5,738.39x = 7,919.01 × 3,350.01
  4. Step 4: Simplify right side
    5,738.39x = 26,528,745.94
  5. Step 5: Solve for x
    x = 26,528,745.94/5,738.39
  6. Step 6: Final answer
    x = 4,623.03

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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.