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Finding the Fourth Proportional to 6,277.23, 8,662.85 and 3,759.75

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Solution

The fourth proportional to 6,277.23, 8,662.85 and 3,759.75 is: 5,188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.23 : 8,662.85 = 3,759.75 : x
  2. Step 2: Convert to fraction form
    6,277.23/8,662.85 = 3,759.75/x
  3. Step 3: Cross multiply
    6,277.23x = 8,662.85 × 3,759.75
  4. Step 4: Simplify right side
    6,277.23x = 32,570,145.59
  5. Step 5: Solve for x
    x = 32,570,145.59/6,277.23
  6. Step 6: Final answer
    x = 5,188.62

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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.