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Finding the Fourth Proportional to 3,882,892.80, 5,824,339.20 and 3,662,443.20

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Solution

The fourth proportional to 3,882,892.80, 5,824,339.20 and 3,662,443.20 is: 5,493,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882,892.80 : 5,824,339.20 = 3,662,443.20 : x
  2. Step 2: Convert to fraction form
    3,882,892.80/5,824,339.20 = 3,662,443.20/x
  3. Step 3: Cross multiply
    3,882,892.80x = 5,824,339.20 × 3,662,443.20
  4. Step 4: Simplify right side
    3,882,892.80x = 21,331,311,497,533.44
  5. Step 5: Solve for x
    x = 21,331,311,497,533.44/3,882,892.80
  6. Step 6: Final answer
    x = 5,493,664.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.