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Finding the Fourth Proportional to 5,737.69, 7,917.66 and 3,219.33

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Solution

The fourth proportional to 5,737.69, 7,917.66 and 3,219.33 is: 4,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.69 : 7,917.66 = 3,219.33 : x
  2. Step 2: Convert to fraction form
    5,737.69/7,917.66 = 3,219.33/x
  3. Step 3: Cross multiply
    5,737.69x = 7,917.66 × 3,219.33
  4. Step 4: Simplify right side
    5,737.69x = 25,489,560.37
  5. Step 5: Solve for x
    x = 25,489,560.37/5,737.69
  6. Step 6: Final answer
    x = 4,442.48

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1.5x scale

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.