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Finding the Fourth Proportional to 5,791,200.72, 7,992,816.32 and 3,213,709.44

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Solution

The fourth proportional to 5,791,200.72, 7,992,816.32 and 3,213,709.44 is: 4,435,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791,200.72 : 7,992,816.32 = 3,213,709.44 : x
  2. Step 2: Convert to fraction form
    5,791,200.72/7,992,816.32 = 3,213,709.44/x
  3. Step 3: Cross multiply
    5,791,200.72x = 7,992,816.32 × 3,213,709.44
  4. Step 4: Simplify right side
    5,791,200.72x = 25,686,589,259,770.06
  5. Step 5: Solve for x
    x = 25,686,589,259,770.06/5,791,200.72
  6. Step 6: Final answer
    x = 4,435,451.39

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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.