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Finding the Fourth Proportional to 5,781,695.44, 7,978,635.92 and 3,203,324.52

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Solution

The fourth proportional to 5,781,695.44, 7,978,635.92 and 3,203,324.52 is: 4,420,530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781,695.44 : 7,978,635.92 = 3,203,324.52 : x
  2. Step 2: Convert to fraction form
    5,781,695.44/7,978,635.92 = 3,203,324.52/x
  3. Step 3: Cross multiply
    5,781,695.44x = 7,978,635.92 × 3,203,324.52
  4. Step 4: Simplify right side
    5,781,695.44x = 25,558,160,078,688.76
  5. Step 5: Solve for x
    x = 25,558,160,078,688.76/5,781,695.44
  6. Step 6: Final answer
    x = 4,420,530.33

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Why These Related Problems?

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