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Finding the Fourth Proportional to 6,284.36, 8,672.54 and 3,766.56

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Solution

The fourth proportional to 6,284.36, 8,672.54 and 3,766.56 is: 5,197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.36 : 8,672.54 = 3,766.56 : x
  2. Step 2: Convert to fraction form
    6,284.36/8,672.54 = 3,766.56/x
  3. Step 3: Cross multiply
    6,284.36x = 8,672.54 × 3,766.56
  4. Step 4: Simplify right side
    6,284.36x = 32,665,642.26
  5. Step 5: Solve for x
    x = 32,665,642.26/6,284.36
  6. Step 6: Final answer
    x = 5,197.93

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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.