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Finding the Fourth Proportional to 3,443.69, 5,165.57 and 1,364.20

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Solution

The fourth proportional to 3,443.69, 5,165.57 and 1,364.20 is: 2,046.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.69 : 5,165.57 = 1,364.20 : x
  2. Step 2: Convert to fraction form
    3,443.69/5,165.57 = 1,364.20/x
  3. Step 3: Cross multiply
    3,443.69x = 5,165.57 × 1,364.20
  4. Step 4: Simplify right side
    3,443.69x = 7,046,853.42
  5. Step 5: Solve for x
    x = 7,046,853.42/3,443.69
  6. Step 6: Final answer
    x = 2,046.31

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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.