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Finding the Fourth Proportional to 3,463.26, 5,194.90 and 1,384.40

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Solution

The fourth proportional to 3,463.26, 5,194.90 and 1,384.40 is: 2,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.26 : 5,194.90 = 1,384.40 : x
  2. Step 2: Convert to fraction form
    3,463.26/5,194.90 = 1,384.40/x
  3. Step 3: Cross multiply
    3,463.26x = 5,194.90 × 1,384.40
  4. Step 4: Simplify right side
    3,463.26x = 7,191,819.56
  5. Step 5: Solve for x
    x = 7,191,819.56/3,463.26
  6. Step 6: Final answer
    x = 2,076.60

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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.