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Finding the Fourth Proportional to 3,546.32, 4,867.90 and 3,144.56

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Solution

The fourth proportional to 3,546.32, 4,867.90 and 3,144.56 is: 4,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.32 : 4,867.90 = 3,144.56 : x
  2. Step 2: Convert to fraction form
    3,546.32/4,867.90 = 3,144.56/x
  3. Step 3: Cross multiply
    3,546.32x = 4,867.90 × 3,144.56
  4. Step 4: Simplify right side
    3,546.32x = 15,307,403.62
  5. Step 5: Solve for x
    x = 15,307,403.62/3,546.32
  6. Step 6: Final answer
    x = 4,316.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.