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Finding the Fourth Proportional to 5,596.94, 7,724.08 and 3,239.84

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Solution

The fourth proportional to 5,596.94, 7,724.08 and 3,239.84 is: 4,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.94 : 7,724.08 = 3,239.84 : x
  2. Step 2: Convert to fraction form
    5,596.94/7,724.08 = 3,239.84/x
  3. Step 3: Cross multiply
    5,596.94x = 7,724.08 × 3,239.84
  4. Step 4: Simplify right side
    5,596.94x = 25,024,736.63
  5. Step 5: Solve for x
    x = 25,024,736.63/5,596.94
  6. Step 6: Final answer
    x = 4,471.15

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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.