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Finding the Fourth Proportional to 3,517.89, 5,278.37 and 1,670.31

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Solution

The fourth proportional to 3,517.89, 5,278.37 and 1,670.31 is: 2,506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.89 : 5,278.37 = 1,670.31 : x
  2. Step 2: Convert to fraction form
    3,517.89/5,278.37 = 1,670.31/x
  3. Step 3: Cross multiply
    3,517.89x = 5,278.37 × 1,670.31
  4. Step 4: Simplify right side
    3,517.89x = 8,816,505.84
  5. Step 5: Solve for x
    x = 8,816,505.84/3,517.89
  6. Step 6: Final answer
    x = 2,506.19

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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.