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Finding the Fourth Proportional to 5,759.09, 7,947.24 and 3,400.77

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Solution

The fourth proportional to 5,759.09, 7,947.24 and 3,400.77 is: 4,692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.09 : 7,947.24 = 3,400.77 : x
  2. Step 2: Convert to fraction form
    5,759.09/7,947.24 = 3,400.77/x
  3. Step 3: Cross multiply
    5,759.09x = 7,947.24 × 3,400.77
  4. Step 4: Simplify right side
    5,759.09x = 27,026,735.37
  5. Step 5: Solve for x
    x = 27,026,735.37/5,759.09
  6. Step 6: Final answer
    x = 4,692.89

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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.