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Finding the Fourth Proportional to 4,055, 5,595.90 and 2,192

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Solution

The fourth proportional to 4,055, 5,595.90 and 2,192 is: 3,024.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055 : 5,595.90 = 2,192 : x
  2. Step 2: Convert to fraction form
    4,055/5,595.90 = 2,192/x
  3. Step 3: Cross multiply
    4,055x = 5,595.90 × 2,192
  4. Step 4: Simplify right side
    4,055x = 12,266,212.80
  5. Step 5: Solve for x
    x = 12,266,212.80/4,055
  6. Step 6: Final answer
    x = 3,024.96

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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.