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Finding the Fourth Proportional to 3,428.80, 5,143.20 and 2,262.40

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Solution

The fourth proportional to 3,428.80, 5,143.20 and 2,262.40 is: 3,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.80 : 5,143.20 = 2,262.40 : x
  2. Step 2: Convert to fraction form
    3,428.80/5,143.20 = 2,262.40/x
  3. Step 3: Cross multiply
    3,428.80x = 5,143.20 × 2,262.40
  4. Step 4: Simplify right side
    3,428.80x = 11,635,975.68
  5. Step 5: Solve for x
    x = 11,635,975.68/3,428.80
  6. Step 6: Final answer
    x = 3,393.60

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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.