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Finding the Fourth Proportional to 5,790.25, 7,991.63 and 3,306.25

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Solution

The fourth proportional to 5,790.25, 7,991.63 and 3,306.25 is: 4,563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.25 : 7,991.63 = 3,306.25 : x
  2. Step 2: Convert to fraction form
    5,790.25/7,991.63 = 3,306.25/x
  3. Step 3: Cross multiply
    5,790.25x = 7,991.63 × 3,306.25
  4. Step 4: Simplify right side
    5,790.25x = 26,422,326.69
  5. Step 5: Solve for x
    x = 26,422,326.69/5,790.25
  6. Step 6: Final answer
    x = 4,563.24

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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.