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Finding the Fourth Proportional to 4,057.91, 5,599.93 and 2,194.91

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Solution

The fourth proportional to 4,057.91, 5,599.93 and 2,194.91 is: 3,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.91 : 5,599.93 = 2,194.91 : x
  2. Step 2: Convert to fraction form
    4,057.91/5,599.93 = 2,194.91/x
  3. Step 3: Cross multiply
    4,057.91x = 5,599.93 × 2,194.91
  4. Step 4: Simplify right side
    4,057.91x = 12,291,342.36
  5. Step 5: Solve for x
    x = 12,291,342.36/4,057.91
  6. Step 6: Final answer
    x = 3,028.98

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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.