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Finding the Fourth Proportional to 3,972,404.05, 5,956,041.81 and 1,699,411.21

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Solution

The fourth proportional to 3,972,404.05, 5,956,041.81 and 1,699,411.21 is: 2,548,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972,404.05 : 5,956,041.81 = 1,699,411.21 : x
  2. Step 2: Convert to fraction form
    3,972,404.05/5,956,041.81 = 1,699,411.21/x
  3. Step 3: Cross multiply
    3,972,404.05x = 5,956,041.81 × 1,699,411.21
  4. Step 4: Simplify right side
    3,972,404.05x = 10,121,764,227,376.74
  5. Step 5: Solve for x
    x = 10,121,764,227,376.74/3,972,404.05
  6. Step 6: Final answer
    x = 2,548,019.81

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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.