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Finding the Fourth Proportional to 5,594.97, 7,722.50 and 3,238.48

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Solution

The fourth proportional to 5,594.97, 7,722.50 and 3,238.48 is: 4,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,594.97 : 7,722.50 = 3,238.48 : x
  2. Step 2: Convert to fraction form
    5,594.97/7,722.50 = 3,238.48/x
  3. Step 3: Cross multiply
    5,594.97x = 7,722.50 × 3,238.48
  4. Step 4: Simplify right side
    5,594.97x = 25,009,161.80
  5. Step 5: Solve for x
    x = 25,009,161.80/5,594.97
  6. Step 6: Final answer
    x = 4,469.94

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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.