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Finding the Fourth Proportional to 5,003.96, 6,905.38 and 2,765.79

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Solution

The fourth proportional to 5,003.96, 6,905.38 and 2,765.79 is: 3,816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.96 : 6,905.38 = 2,765.79 : x
  2. Step 2: Convert to fraction form
    5,003.96/6,905.38 = 2,765.79/x
  3. Step 3: Cross multiply
    5,003.96x = 6,905.38 × 2,765.79
  4. Step 4: Simplify right side
    5,003.96x = 19,098,817.12
  5. Step 5: Solve for x
    x = 19,098,817.12/5,003.96
  6. Step 6: Final answer
    x = 3,816.74

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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.