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Finding the Fourth Proportional to 4,187.82, 5,773.02 and 3,191.37

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Solution

The fourth proportional to 4,187.82, 5,773.02 and 3,191.37 is: 4,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.82 : 5,773.02 = 3,191.37 : x
  2. Step 2: Convert to fraction form
    4,187.82/5,773.02 = 3,191.37/x
  3. Step 3: Cross multiply
    4,187.82x = 5,773.02 × 3,191.37
  4. Step 4: Simplify right side
    4,187.82x = 18,423,842.84
  5. Step 5: Solve for x
    x = 18,423,842.84/4,187.82
  6. Step 6: Final answer
    x = 4,399.39

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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.