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Finding the Fourth Proportional to 5,032.50, 6,944.97 and 2,824.50

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Solution

The fourth proportional to 5,032.50, 6,944.97 and 2,824.50 is: 3,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.50 : 6,944.97 = 2,824.50 : x
  2. Step 2: Convert to fraction form
    5,032.50/6,944.97 = 2,824.50/x
  3. Step 3: Cross multiply
    5,032.50x = 6,944.97 × 2,824.50
  4. Step 4: Simplify right side
    5,032.50x = 19,616,067.77
  5. Step 5: Solve for x
    x = 19,616,067.77/5,032.50
  6. Step 6: Final answer
    x = 3,897.88

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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.