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Finding the Fourth Proportional to 5,003.50, 7,504.89 and 2,081.02

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Solution

The fourth proportional to 5,003.50, 7,504.89 and 2,081.02 is: 3,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.50 : 7,504.89 = 2,081.02 : x
  2. Step 2: Convert to fraction form
    5,003.50/7,504.89 = 2,081.02/x
  3. Step 3: Cross multiply
    5,003.50x = 7,504.89 × 2,081.02
  4. Step 4: Simplify right side
    5,003.50x = 15,617,826.19
  5. Step 5: Solve for x
    x = 15,617,826.19/5,003.50
  6. Step 6: Final answer
    x = 3,121.38

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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.