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Finding the Fourth Proportional to 5,596.11, 7,722.63 and 3,238.20

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Solution

The fourth proportional to 5,596.11, 7,722.63 and 3,238.20 is: 4,468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.11 : 7,722.63 = 3,238.20 : x
  2. Step 2: Convert to fraction form
    5,596.11/7,722.63 = 3,238.20/x
  3. Step 3: Cross multiply
    5,596.11x = 7,722.63 × 3,238.20
  4. Step 4: Simplify right side
    5,596.11x = 25,007,420.47
  5. Step 5: Solve for x
    x = 25,007,420.47/5,596.11
  6. Step 6: Final answer
    x = 4,468.71

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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.