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Finding the Fourth Proportional to 5,664,753.92, 7,808,507.52 and 3,850,768.64

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Solution

The fourth proportional to 5,664,753.92, 7,808,507.52 and 3,850,768.64 is: 5,308,042.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664,753.92 : 7,808,507.52 = 3,850,768.64 : x
  2. Step 2: Convert to fraction form
    5,664,753.92/7,808,507.52 = 3,850,768.64/x
  3. Step 3: Cross multiply
    5,664,753.92x = 7,808,507.52 × 3,850,768.64
  4. Step 4: Simplify right side
    5,664,753.92x = 30,068,755,883,220.17
  5. Step 5: Solve for x
    x = 30,068,755,883,220.17/5,664,753.92
  6. Step 6: Final answer
    x = 5,308,042.73

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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.