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Finding the Fourth Proportional to 5,790.88, 7,991.22 and 3,431.62

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Solution

The fourth proportional to 5,790.88, 7,991.22 and 3,431.62 is: 4,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.88 : 7,991.22 = 3,431.62 : x
  2. Step 2: Convert to fraction form
    5,790.88/7,991.22 = 3,431.62/x
  3. Step 3: Cross multiply
    5,790.88x = 7,991.22 × 3,431.62
  4. Step 4: Simplify right side
    5,790.88x = 27,422,830.38
  5. Step 5: Solve for x
    x = 27,422,830.38/5,790.88
  6. Step 6: Final answer
    x = 4,735.52

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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.