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Finding the Fourth Proportional to 5,785,203.80, 7,983,044.70 and 3,206,665.16

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Solution

The fourth proportional to 5,785,203.80, 7,983,044.70 and 3,206,665.16 is: 4,424,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785,203.80 : 7,983,044.70 = 3,206,665.16 : x
  2. Step 2: Convert to fraction form
    5,785,203.80/7,983,044.70 = 3,206,665.16/x
  3. Step 3: Cross multiply
    5,785,203.80x = 7,983,044.70 × 3,206,665.16
  4. Step 4: Simplify right side
    5,785,203.80x = 25,598,951,310,212.65
  5. Step 5: Solve for x
    x = 25,598,951,310,212.65/5,785,203.80
  6. Step 6: Final answer
    x = 4,424,900.52

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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.