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Finding the Fourth Proportional to 2,872.04, 3,958.56 and 2,398.22

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Solution

The fourth proportional to 2,872.04, 3,958.56 and 2,398.22 is: 3,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.04 : 3,958.56 = 2,398.22 : x
  2. Step 2: Convert to fraction form
    2,872.04/3,958.56 = 2,398.22/x
  3. Step 3: Cross multiply
    2,872.04x = 3,958.56 × 2,398.22
  4. Step 4: Simplify right side
    2,872.04x = 9,493,497.76
  5. Step 5: Solve for x
    x = 9,493,497.76/2,872.04
  6. Step 6: Final answer
    x = 3,305.49

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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.