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Finding the Fourth Proportional to 5,243.33, 7,854.99 and 5,067.50

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Solution

The fourth proportional to 5,243.33, 7,854.99 and 5,067.50 is: 7,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.33 : 7,854.99 = 5,067.50 : x
  2. Step 2: Convert to fraction form
    5,243.33/7,854.99 = 5,067.50/x
  3. Step 3: Cross multiply
    5,243.33x = 7,854.99 × 5,067.50
  4. Step 4: Simplify right side
    5,243.33x = 39,805,161.83
  5. Step 5: Solve for x
    x = 39,805,161.83/5,243.33
  6. Step 6: Final answer
    x = 7,591.58

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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.