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Finding the Fourth Proportional to 6,351.73, 8,765.93 and 3,699.97

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Solution

The fourth proportional to 6,351.73, 8,765.93 and 3,699.97 is: 5,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.73 : 8,765.93 = 3,699.97 : x
  2. Step 2: Convert to fraction form
    6,351.73/8,765.93 = 3,699.97/x
  3. Step 3: Cross multiply
    6,351.73x = 8,765.93 × 3,699.97
  4. Step 4: Simplify right side
    6,351.73x = 32,433,678.02
  5. Step 5: Solve for x
    x = 32,433,678.02/6,351.73
  6. Step 6: Final answer
    x = 5,106.27

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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.