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Finding the Fourth Proportional to 6,311.07, 8,709.57 and 3,659.31

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Solution

The fourth proportional to 6,311.07, 8,709.57 and 3,659.31 is: 5,050.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.07 : 8,709.57 = 3,659.31 : x
  2. Step 2: Convert to fraction form
    6,311.07/8,709.57 = 3,659.31/x
  3. Step 3: Cross multiply
    6,311.07x = 8,709.57 × 3,659.31
  4. Step 4: Simplify right side
    6,311.07x = 31,871,016.60
  5. Step 5: Solve for x
    x = 31,871,016.60/6,311.07
  6. Step 6: Final answer
    x = 5,050.02

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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.