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Finding the Fourth Proportional to 5,076.19, 7,614.21 and 1,378.50

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Solution

The fourth proportional to 5,076.19, 7,614.21 and 1,378.50 is: 2,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.19 : 7,614.21 = 1,378.50 : x
  2. Step 2: Convert to fraction form
    5,076.19/7,614.21 = 1,378.50/x
  3. Step 3: Cross multiply
    5,076.19x = 7,614.21 × 1,378.50
  4. Step 4: Simplify right side
    5,076.19x = 10,496,188.49
  5. Step 5: Solve for x
    x = 10,496,188.49/5,076.19
  6. Step 6: Final answer
    x = 2,067.73

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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.