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Finding the Fourth Proportional to 5,608.36, 7,738.91 and 3,217.69

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Solution

The fourth proportional to 5,608.36, 7,738.91 and 3,217.69 is: 4,440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.36 : 7,738.91 = 3,217.69 : x
  2. Step 2: Convert to fraction form
    5,608.36/7,738.91 = 3,217.69/x
  3. Step 3: Cross multiply
    5,608.36x = 7,738.91 × 3,217.69
  4. Step 4: Simplify right side
    5,608.36x = 24,901,402.01
  5. Step 5: Solve for x
    x = 24,901,402.01/5,608.36
  6. Step 6: Final answer
    x = 4,440.05

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