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Finding the Fourth Proportional to 3,443.65, 5,165.49 and 1,364.15

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Solution

The fourth proportional to 3,443.65, 5,165.49 and 1,364.15 is: 2,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.65 : 5,165.49 = 1,364.15 : x
  2. Step 2: Convert to fraction form
    3,443.65/5,165.49 = 1,364.15/x
  3. Step 3: Cross multiply
    3,443.65x = 5,165.49 × 1,364.15
  4. Step 4: Simplify right side
    3,443.65x = 7,046,503.18
  5. Step 5: Solve for x
    x = 7,046,503.18/3,443.65
  6. Step 6: Final answer
    x = 2,046.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.