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Finding the Fourth Proportional to 5,782,696.69, 7,980,099.92 and 3,204,375.40

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Solution

The fourth proportional to 5,782,696.69, 7,980,099.92 and 3,204,375.40 is: 4,422,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782,696.69 : 7,980,099.92 = 3,204,375.40 : x
  2. Step 2: Convert to fraction form
    5,782,696.69/7,980,099.92 = 3,204,375.40/x
  3. Step 3: Cross multiply
    5,782,696.69x = 7,980,099.92 × 3,204,375.40
  4. Step 4: Simplify right side
    5,782,696.69x = 25,571,235,873,189.97
  5. Step 5: Solve for x
    x = 25,571,235,873,189.97/5,782,696.69
  6. Step 6: Final answer
    x = 4,422,026.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.