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Finding the Fourth Proportional to 5,945,608.64, 8,204,800.34 and 3,498,378.18

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Solution

The fourth proportional to 5,945,608.64, 8,204,800.34 and 3,498,378.18 is: 4,827,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945,608.64 : 8,204,800.34 = 3,498,378.18 : x
  2. Step 2: Convert to fraction form
    5,945,608.64/8,204,800.34 = 3,498,378.18/x
  3. Step 3: Cross multiply
    5,945,608.64x = 8,204,800.34 × 3,498,378.18
  4. Step 4: Simplify right side
    5,945,608.64x = 28,703,494,463,220.69
  5. Step 5: Solve for x
    x = 28,703,494,463,220.69/5,945,608.64
  6. Step 6: Final answer
    x = 4,827,679.76

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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.