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Finding the Fourth Proportional to 4,057.98, 5,600 and 2,194.98

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Solution

The fourth proportional to 4,057.98, 5,600 and 2,194.98 is: 3,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.98 : 5,600 = 2,194.98 : x
  2. Step 2: Convert to fraction form
    4,057.98/5,600 = 2,194.98/x
  3. Step 3: Cross multiply
    4,057.98x = 5,600 × 2,194.98
  4. Step 4: Simplify right side
    4,057.98x = 12,291,888
  5. Step 5: Solve for x
    x = 12,291,888/4,057.98
  6. Step 6: Final answer
    x = 3,029.07

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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.