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Finding the Fourth Proportional to 5,957.76, 8,221.75 and 3,305.22

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Solution

The fourth proportional to 5,957.76, 8,221.75 and 3,305.22 is: 4,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.76 : 8,221.75 = 3,305.22 : x
  2. Step 2: Convert to fraction form
    5,957.76/8,221.75 = 3,305.22/x
  3. Step 3: Cross multiply
    5,957.76x = 8,221.75 × 3,305.22
  4. Step 4: Simplify right side
    5,957.76x = 27,174,692.54
  5. Step 5: Solve for x
    x = 27,174,692.54/5,957.76
  6. Step 6: Final answer
    x = 4,561.23

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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.