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Finding the Fourth Proportional to 3,680.70, 5,511.33 and 1,945.68

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Solution

The fourth proportional to 3,680.70, 5,511.33 and 1,945.68 is: 2,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.70 : 5,511.33 = 1,945.68 : x
  2. Step 2: Convert to fraction form
    3,680.70/5,511.33 = 1,945.68/x
  3. Step 3: Cross multiply
    3,680.70x = 5,511.33 × 1,945.68
  4. Step 4: Simplify right side
    3,680.70x = 10,723,284.55
  5. Step 5: Solve for x
    x = 10,723,284.55/3,680.70
  6. Step 6: Final answer
    x = 2,913.38

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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.