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Finding the Fourth Proportional to 3,945.69, 5,919.21 and 1,866.69

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Solution

The fourth proportional to 3,945.69, 5,919.21 and 1,866.69 is: 2,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.69 : 5,919.21 = 1,866.69 : x
  2. Step 2: Convert to fraction form
    3,945.69/5,919.21 = 1,866.69/x
  3. Step 3: Cross multiply
    3,945.69x = 5,919.21 × 1,866.69
  4. Step 4: Simplify right side
    3,945.69x = 11,049,330.11
  5. Step 5: Solve for x
    x = 11,049,330.11/3,945.69
  6. Step 6: Final answer
    x = 2,800.35

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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.