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Finding the Fourth Proportional to 3,674.10, 5,066.52 and 3,144.75

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Solution

The fourth proportional to 3,674.10, 5,066.52 and 3,144.75 is: 4,336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.10 : 5,066.52 = 3,144.75 : x
  2. Step 2: Convert to fraction form
    3,674.10/5,066.52 = 3,144.75/x
  3. Step 3: Cross multiply
    3,674.10x = 5,066.52 × 3,144.75
  4. Step 4: Simplify right side
    3,674.10x = 15,932,938.77
  5. Step 5: Solve for x
    x = 15,932,938.77/3,674.10
  6. Step 6: Final answer
    x = 4,336.56

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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.