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Finding the Fourth Proportional to 5,121.43, 7,679.54 and 1,999.01

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Solution

The fourth proportional to 5,121.43, 7,679.54 and 1,999.01 is: 2,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.43 : 7,679.54 = 1,999.01 : x
  2. Step 2: Convert to fraction form
    5,121.43/7,679.54 = 1,999.01/x
  3. Step 3: Cross multiply
    5,121.43x = 7,679.54 × 1,999.01
  4. Step 4: Simplify right side
    5,121.43x = 15,351,501.45
  5. Step 5: Solve for x
    x = 15,351,501.45/5,121.43
  6. Step 6: Final answer
    x = 2,997.50

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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.