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Finding the Fourth Proportional to 4,057.89, 5,599.86 and 2,194.89

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Solution

The fourth proportional to 4,057.89, 5,599.86 and 2,194.89 is: 3,028.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.89 : 5,599.86 = 2,194.89 : x
  2. Step 2: Convert to fraction form
    4,057.89/5,599.86 = 2,194.89/x
  3. Step 3: Cross multiply
    4,057.89x = 5,599.86 × 2,194.89
  4. Step 4: Simplify right side
    4,057.89x = 12,291,076.72
  5. Step 5: Solve for x
    x = 12,291,076.72/4,057.89
  6. Step 6: Final answer
    x = 3,028.93

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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.