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Finding the Fourth Proportional to 3,268.95, 4,503.09 and 3,102.22

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Solution

The fourth proportional to 3,268.95, 4,503.09 and 3,102.22 is: 4,273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.95 : 4,503.09 = 3,102.22 : x
  2. Step 2: Convert to fraction form
    3,268.95/4,503.09 = 3,102.22/x
  3. Step 3: Cross multiply
    3,268.95x = 4,503.09 × 3,102.22
  4. Step 4: Simplify right side
    3,268.95x = 13,969,575.86
  5. Step 5: Solve for x
    x = 13,969,575.86/3,268.95
  6. Step 6: Final answer
    x = 4,273.41

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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.