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Finding the Fourth Proportional to 5,027.51, 7,540.05 and 2,108

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Solution

The fourth proportional to 5,027.51, 7,540.05 and 2,108 is: 3,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.51 : 7,540.05 = 2,108 : x
  2. Step 2: Convert to fraction form
    5,027.51/7,540.05 = 2,108/x
  3. Step 3: Cross multiply
    5,027.51x = 7,540.05 × 2,108
  4. Step 4: Simplify right side
    5,027.51x = 15,894,425.40
  5. Step 5: Solve for x
    x = 15,894,425.40/5,027.51
  6. Step 6: Final answer
    x = 3,161.49

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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.