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Finding the Fourth Proportional to 6,003.81, 8,282.34 and 4,014.90

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Solution

The fourth proportional to 6,003.81, 8,282.34 and 4,014.90 is: 5,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.81 : 8,282.34 = 4,014.90 : x
  2. Step 2: Convert to fraction form
    6,003.81/8,282.34 = 4,014.90/x
  3. Step 3: Cross multiply
    6,003.81x = 8,282.34 × 4,014.90
  4. Step 4: Simplify right side
    6,003.81x = 33,252,766.87
  5. Step 5: Solve for x
    x = 33,252,766.87/6,003.81
  6. Step 6: Final answer
    x = 5,538.61

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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.