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Finding the Fourth Proportional to 3,872.82, 5,345.04 and 2,457.24

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Solution

The fourth proportional to 3,872.82, 5,345.04 and 2,457.24 is: 3,391.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.82 : 5,345.04 = 2,457.24 : x
  2. Step 2: Convert to fraction form
    3,872.82/5,345.04 = 2,457.24/x
  3. Step 3: Cross multiply
    3,872.82x = 5,345.04 × 2,457.24
  4. Step 4: Simplify right side
    3,872.82x = 13,134,046.09
  5. Step 5: Solve for x
    x = 13,134,046.09/3,872.82
  6. Step 6: Final answer
    x = 3,391.34

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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.