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Finding the Fourth Proportional to 5,200,884.70, 7,786,120.65 and 3,707,892.70

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Solution

The fourth proportional to 5,200,884.70, 7,786,120.65 and 3,707,892.70 is: 5,550,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,884.70 : 7,786,120.65 = 3,707,892.70 : x
  2. Step 2: Convert to fraction form
    5,200,884.70/7,786,120.65 = 3,707,892.70/x
  3. Step 3: Cross multiply
    5,200,884.70x = 7,786,120.65 × 3,707,892.70
  4. Step 4: Simplify right side
    5,200,884.70x = 28,870,099,919,454.26
  5. Step 5: Solve for x
    x = 28,870,099,919,454.26/5,200,884.70
  6. Step 6: Final answer
    x = 5,550,997.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.