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Finding the Fourth Proportional to 3,862.68, 5,796.82 and 2,627.16

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Solution

The fourth proportional to 3,862.68, 5,796.82 and 2,627.16 is: 3,942.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.68 : 5,796.82 = 2,627.16 : x
  2. Step 2: Convert to fraction form
    3,862.68/5,796.82 = 2,627.16/x
  3. Step 3: Cross multiply
    3,862.68x = 5,796.82 × 2,627.16
  4. Step 4: Simplify right side
    3,862.68x = 15,229,173.63
  5. Step 5: Solve for x
    x = 15,229,173.63/3,862.68
  6. Step 6: Final answer
    x = 3,942.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.