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Finding the Fourth Proportional to 3,947,267.28, 5,914,798 and 3,080,647.44

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Solution

The fourth proportional to 3,947,267.28, 5,914,798 and 3,080,647.44 is: 4,616,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947,267.28 : 5,914,798 = 3,080,647.44 : x
  2. Step 2: Convert to fraction form
    3,947,267.28/5,914,798 = 3,080,647.44/x
  3. Step 3: Cross multiply
    3,947,267.28x = 5,914,798 × 3,080,647.44
  4. Step 4: Simplify right side
    3,947,267.28x = 18,221,407,316,817.12
  5. Step 5: Solve for x
    x = 18,221,407,316,817.12/3,947,267.28
  6. Step 6: Final answer
    x = 4,616,208.13

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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.