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Finding the Fourth Proportional to 5,596.07, 7,720.56 and 3,205.41

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Solution

The fourth proportional to 5,596.07, 7,720.56 and 3,205.41 is: 4,422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.07 : 7,720.56 = 3,205.41 : x
  2. Step 2: Convert to fraction form
    5,596.07/7,720.56 = 3,205.41/x
  3. Step 3: Cross multiply
    5,596.07x = 7,720.56 × 3,205.41
  4. Step 4: Simplify right side
    5,596.07x = 24,747,531.28
  5. Step 5: Solve for x
    x = 24,747,531.28/5,596.07
  6. Step 6: Final answer
    x = 4,422.31

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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.