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Finding the Fourth Proportional to 3,775.09, 5,663.11 and 2,194.54

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Solution

The fourth proportional to 3,775.09, 5,663.11 and 2,194.54 is: 3,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.09 : 5,663.11 = 2,194.54 : x
  2. Step 2: Convert to fraction form
    3,775.09/5,663.11 = 2,194.54/x
  3. Step 3: Cross multiply
    3,775.09x = 5,663.11 × 2,194.54
  4. Step 4: Simplify right side
    3,775.09x = 12,427,882.13
  5. Step 5: Solve for x
    x = 12,427,882.13/3,775.09
  6. Step 6: Final answer
    x = 3,292.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.