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Finding the Fourth Proportional to 3,212.73, 4,433.13 and 1,886.22

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Solution

The fourth proportional to 3,212.73, 4,433.13 and 1,886.22 is: 2,602.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.73 : 4,433.13 = 1,886.22 : x
  2. Step 2: Convert to fraction form
    3,212.73/4,433.13 = 1,886.22/x
  3. Step 3: Cross multiply
    3,212.73x = 4,433.13 × 1,886.22
  4. Step 4: Simplify right side
    3,212.73x = 8,361,858.47
  5. Step 5: Solve for x
    x = 8,361,858.47/3,212.73
  6. Step 6: Final answer
    x = 2,602.73

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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.