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Finding the Fourth Proportional to 5,719.93, 7,893.86 and 3,202.33

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Solution

The fourth proportional to 5,719.93, 7,893.86 and 3,202.33 is: 4,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.93 : 7,893.86 = 3,202.33 : x
  2. Step 2: Convert to fraction form
    5,719.93/7,893.86 = 3,202.33/x
  3. Step 3: Cross multiply
    5,719.93x = 7,893.86 × 3,202.33
  4. Step 4: Simplify right side
    5,719.93x = 25,278,744.69
  5. Step 5: Solve for x
    x = 25,278,744.69/5,719.93
  6. Step 6: Final answer
    x = 4,419.42

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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.