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Finding the Fourth Proportional to 4,504.50, 6,757.83 and 1,426.50

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Solution

The fourth proportional to 4,504.50, 6,757.83 and 1,426.50 is: 2,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,504.50 : 6,757.83 = 1,426.50 : x
  2. Step 2: Convert to fraction form
    4,504.50/6,757.83 = 1,426.50/x
  3. Step 3: Cross multiply
    4,504.50x = 6,757.83 × 1,426.50
  4. Step 4: Simplify right side
    4,504.50x = 9,640,044.50
  5. Step 5: Solve for x
    x = 9,640,044.50/4,504.50
  6. Step 6: Final answer
    x = 2,140.09

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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.