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Finding the Fourth Proportional to 5,783,761.25, 7,981,591.26 and 3,205,608.47

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Solution

The fourth proportional to 5,783,761.25, 7,981,591.26 and 3,205,608.47 is: 4,423,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783,761.25 : 7,981,591.26 = 3,205,608.47 : x
  2. Step 2: Convert to fraction form
    5,783,761.25/7,981,591.26 = 3,205,608.47/x
  3. Step 3: Cross multiply
    5,783,761.25x = 7,981,591.26 × 3,205,608.47
  4. Step 4: Simplify right side
    5,783,761.25x = 25,585,856,547,133.97
  5. Step 5: Solve for x
    x = 25,585,856,547,133.97/5,783,761.25
  6. Step 6: Final answer
    x = 4,423,740.10

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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.