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Finding the Fourth Proportional to 3,872.54, 5,343.03 and 2,546.69

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Solution

The fourth proportional to 3,872.54, 5,343.03 and 2,546.69 is: 3,513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.54 : 5,343.03 = 2,546.69 : x
  2. Step 2: Convert to fraction form
    3,872.54/5,343.03 = 2,546.69/x
  3. Step 3: Cross multiply
    3,872.54x = 5,343.03 × 2,546.69
  4. Step 4: Simplify right side
    3,872.54x = 13,607,014.36
  5. Step 5: Solve for x
    x = 13,607,014.36/3,872.54
  6. Step 6: Final answer
    x = 3,513.72

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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.