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Finding the Fourth Proportional to 5,596.54, 7,722.36 and 3,238.22

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Solution

The fourth proportional to 5,596.54, 7,722.36 and 3,238.22 is: 4,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.54 : 7,722.36 = 3,238.22 : x
  2. Step 2: Convert to fraction form
    5,596.54/7,722.36 = 3,238.22/x
  3. Step 3: Cross multiply
    5,596.54x = 7,722.36 × 3,238.22
  4. Step 4: Simplify right side
    5,596.54x = 25,006,719.91
  5. Step 5: Solve for x
    x = 25,006,719.91/5,596.54
  6. Step 6: Final answer
    x = 4,468.25

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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.