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Finding the Fourth Proportional to 3,617.48, 4,994.66 and 3,194.60

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Solution

The fourth proportional to 3,617.48, 4,994.66 and 3,194.60 is: 4,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.48 : 4,994.66 = 3,194.60 : x
  2. Step 2: Convert to fraction form
    3,617.48/4,994.66 = 3,194.60/x
  3. Step 3: Cross multiply
    3,617.48x = 4,994.66 × 3,194.60
  4. Step 4: Simplify right side
    3,617.48x = 15,955,940.84
  5. Step 5: Solve for x
    x = 15,955,940.84/3,617.48
  6. Step 6: Final answer
    x = 4,410.79

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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.