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Finding the Fourth Proportional to 5,785,396.41, 7,983,310.23 and 3,206,857.80

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Solution

The fourth proportional to 5,785,396.41, 7,983,310.23 and 3,206,857.80 is: 4,425,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785,396.41 : 7,983,310.23 = 3,206,857.80 : x
  2. Step 2: Convert to fraction form
    5,785,396.41/7,983,310.23 = 3,206,857.80/x
  3. Step 3: Cross multiply
    5,785,396.41x = 7,983,310.23 × 3,206,857.80
  4. Step 4: Simplify right side
    5,785,396.41x = 25,601,340,680,895.29
  5. Step 5: Solve for x
    x = 25,601,340,680,895.29/5,785,396.41
  6. Step 6: Final answer
    x = 4,425,166.21

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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.