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Finding the Fourth Proportional to 5,114.61, 7,672.05 and 3,824.28

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Solution

The fourth proportional to 5,114.61, 7,672.05 and 3,824.28 is: 5,736.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.61 : 7,672.05 = 3,824.28 : x
  2. Step 2: Convert to fraction form
    5,114.61/7,672.05 = 3,824.28/x
  3. Step 3: Cross multiply
    5,114.61x = 7,672.05 × 3,824.28
  4. Step 4: Simplify right side
    5,114.61x = 29,340,067.37
  5. Step 5: Solve for x
    x = 29,340,067.37/5,114.61
  6. Step 6: Final answer
    x = 5,736.52

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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.