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Finding the Fourth Proportional to 5,596.40, 7,724.04 and 3,239.84

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Solution

The fourth proportional to 5,596.40, 7,724.04 and 3,239.84 is: 4,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.40 : 7,724.04 = 3,239.84 : x
  2. Step 2: Convert to fraction form
    5,596.40/7,724.04 = 3,239.84/x
  3. Step 3: Cross multiply
    5,596.40x = 7,724.04 × 3,239.84
  4. Step 4: Simplify right side
    5,596.40x = 25,024,653.75
  5. Step 5: Solve for x
    x = 25,024,653.75/5,596.40
  6. Step 6: Final answer
    x = 4,471.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.