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Finding the Fourth Proportional to 3,493.88, 4,821.62 and 1,921.97

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Solution

The fourth proportional to 3,493.88, 4,821.62 and 1,921.97 is: 2,652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.88 : 4,821.62 = 1,921.97 : x
  2. Step 2: Convert to fraction form
    3,493.88/4,821.62 = 1,921.97/x
  3. Step 3: Cross multiply
    3,493.88x = 4,821.62 × 1,921.97
  4. Step 4: Simplify right side
    3,493.88x = 9,267,025.85
  5. Step 5: Solve for x
    x = 9,267,025.85/3,493.88
  6. Step 6: Final answer
    x = 2,652.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.