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Finding the Fourth Proportional to 3,214.71, 4,436.62 and 2,020.60

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Solution

The fourth proportional to 3,214.71, 4,436.62 and 2,020.60 is: 2,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.71 : 4,436.62 = 2,020.60 : x
  2. Step 2: Convert to fraction form
    3,214.71/4,436.62 = 2,020.60/x
  3. Step 3: Cross multiply
    3,214.71x = 4,436.62 × 2,020.60
  4. Step 4: Simplify right side
    3,214.71x = 8,964,637.91
  5. Step 5: Solve for x
    x = 8,964,637.91/3,214.71
  6. Step 6: Final answer
    x = 2,788.63

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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.