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Finding the Fourth Proportional to 6,212.46, 8,572.67 and 3,659.81

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Solution

The fourth proportional to 6,212.46, 8,572.67 and 3,659.81 is: 5,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.46 : 8,572.67 = 3,659.81 : x
  2. Step 2: Convert to fraction form
    6,212.46/8,572.67 = 3,659.81/x
  3. Step 3: Cross multiply
    6,212.46x = 8,572.67 × 3,659.81
  4. Step 4: Simplify right side
    6,212.46x = 31,374,343.39
  5. Step 5: Solve for x
    x = 31,374,343.39/6,212.46
  6. Step 6: Final answer
    x = 5,050.23

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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.