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Finding the Fourth Proportional to 3,363, 5,043.72 and 1,282.26

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Solution

The fourth proportional to 3,363, 5,043.72 and 1,282.26 is: 1,923.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363 : 5,043.72 = 1,282.26 : x
  2. Step 2: Convert to fraction form
    3,363/5,043.72 = 1,282.26/x
  3. Step 3: Cross multiply
    3,363x = 5,043.72 × 1,282.26
  4. Step 4: Simplify right side
    3,363x = 6,467,360.41
  5. Step 5: Solve for x
    x = 6,467,360.41/3,363
  6. Step 6: Final answer
    x = 1,923.09

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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.