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Finding the Fourth Proportional to 3,766.52, 5,650.32 and 1,918.82

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Solution

The fourth proportional to 3,766.52, 5,650.32 and 1,918.82 is: 2,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.52 : 5,650.32 = 1,918.82 : x
  2. Step 2: Convert to fraction form
    3,766.52/5,650.32 = 1,918.82/x
  3. Step 3: Cross multiply
    3,766.52x = 5,650.32 × 1,918.82
  4. Step 4: Simplify right side
    3,766.52x = 10,841,947.02
  5. Step 5: Solve for x
    x = 10,841,947.02/3,766.52
  6. Step 6: Final answer
    x = 2,878.51

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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.