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Finding the Fourth Proportional to 4,672.26, 6,447.24 and 2,682.42

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Solution

The fourth proportional to 4,672.26, 6,447.24 and 2,682.42 is: 3,701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.26 : 6,447.24 = 2,682.42 : x
  2. Step 2: Convert to fraction form
    4,672.26/6,447.24 = 2,682.42/x
  3. Step 3: Cross multiply
    4,672.26x = 6,447.24 × 2,682.42
  4. Step 4: Simplify right side
    4,672.26x = 17,294,205.52
  5. Step 5: Solve for x
    x = 17,294,205.52/4,672.26
  6. Step 6: Final answer
    x = 3,701.46

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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.