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Finding the Fourth Proportional to 4,453.71, 6,684.90 and 2,146.83

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Solution

The fourth proportional to 4,453.71, 6,684.90 and 2,146.83 is: 3,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,453.71 : 6,684.90 = 2,146.83 : x
  2. Step 2: Convert to fraction form
    4,453.71/6,684.90 = 2,146.83/x
  3. Step 3: Cross multiply
    4,453.71x = 6,684.90 × 2,146.83
  4. Step 4: Simplify right side
    4,453.71x = 14,351,343.87
  5. Step 5: Solve for x
    x = 14,351,343.87/4,453.71
  6. Step 6: Final answer
    x = 3,222.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.