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Finding the Fourth Proportional to 5,480.50, 7,563.09 and 2,996.50

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Solution

The fourth proportional to 5,480.50, 7,563.09 and 2,996.50 is: 4,135.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.50 : 7,563.09 = 2,996.50 : x
  2. Step 2: Convert to fraction form
    5,480.50/7,563.09 = 2,996.50/x
  3. Step 3: Cross multiply
    5,480.50x = 7,563.09 × 2,996.50
  4. Step 4: Simplify right side
    5,480.50x = 22,662,799.19
  5. Step 5: Solve for x
    x = 22,662,799.19/5,480.50
  6. Step 6: Final answer
    x = 4,135.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.