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Finding the Fourth Proportional to 3,815,682.42, 5,724,104.22 and 2,375,200.20

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Solution

The fourth proportional to 3,815,682.42, 5,724,104.22 and 2,375,200.20 is: 3,563,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815,682.42 : 5,724,104.22 = 2,375,200.20 : x
  2. Step 2: Convert to fraction form
    3,815,682.42/5,724,104.22 = 2,375,200.20/x
  3. Step 3: Cross multiply
    3,815,682.42x = 5,724,104.22 × 2,375,200.20
  4. Step 4: Simplify right side
    3,815,682.42x = 13,595,893,488,164.84
  5. Step 5: Solve for x
    x = 13,595,893,488,164.84/3,815,682.42
  6. Step 6: Final answer
    x = 3,563,161.71

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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.