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Finding the Fourth Proportional to 6,350.81, 8,765.37 and 3,698.64

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Solution

The fourth proportional to 6,350.81, 8,765.37 and 3,698.64 is: 5,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.81 : 8,765.37 = 3,698.64 : x
  2. Step 2: Convert to fraction form
    6,350.81/8,765.37 = 3,698.64/x
  3. Step 3: Cross multiply
    6,350.81x = 8,765.37 × 3,698.64
  4. Step 4: Simplify right side
    6,350.81x = 32,419,948.10
  5. Step 5: Solve for x
    x = 32,419,948.10/6,350.81
  6. Step 6: Final answer
    x = 5,104.86

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