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Finding the Fourth Proportional to 5,013.50, 7,520.43 and 1,550.66

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Solution

The fourth proportional to 5,013.50, 7,520.43 and 1,550.66 is: 2,326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013.50 : 7,520.43 = 1,550.66 : x
  2. Step 2: Convert to fraction form
    5,013.50/7,520.43 = 1,550.66/x
  3. Step 3: Cross multiply
    5,013.50x = 7,520.43 × 1,550.66
  4. Step 4: Simplify right side
    5,013.50x = 11,661,629.98
  5. Step 5: Solve for x
    x = 11,661,629.98/5,013.50
  6. Step 6: Final answer
    x = 2,326.05

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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.