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Finding the Fourth Proportional to 4,057.88, 5,599.89 and 2,194.88

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Solution

The fourth proportional to 4,057.88, 5,599.89 and 2,194.88 is: 3,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.88 : 5,599.89 = 2,194.88 : x
  2. Step 2: Convert to fraction form
    4,057.88/5,599.89 = 2,194.88/x
  3. Step 3: Cross multiply
    4,057.88x = 5,599.89 × 2,194.88
  4. Step 4: Simplify right side
    4,057.88x = 12,291,058.56
  5. Step 5: Solve for x
    x = 12,291,058.56/4,057.88
  6. Step 6: Final answer
    x = 3,028.94

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Half scale
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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.