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Finding the Fourth Proportional to 3,493.72, 4,821.30 and 1,921.88

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Solution

The fourth proportional to 3,493.72, 4,821.30 and 1,921.88 is: 2,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.72 : 4,821.30 = 1,921.88 : x
  2. Step 2: Convert to fraction form
    3,493.72/4,821.30 = 1,921.88/x
  3. Step 3: Cross multiply
    3,493.72x = 4,821.30 × 1,921.88
  4. Step 4: Simplify right side
    3,493.72x = 9,265,960.04
  5. Step 5: Solve for x
    x = 9,265,960.04/3,493.72
  6. Step 6: Final answer
    x = 2,652.18

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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.