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Finding the Fourth Proportional to 4,546.29, 6,809.44 and 3,757.35

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Solution

The fourth proportional to 4,546.29, 6,809.44 and 3,757.35 is: 5,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.29 : 6,809.44 = 3,757.35 : x
  2. Step 2: Convert to fraction form
    4,546.29/6,809.44 = 3,757.35/x
  3. Step 3: Cross multiply
    4,546.29x = 6,809.44 × 3,757.35
  4. Step 4: Simplify right side
    4,546.29x = 25,585,449.38
  5. Step 5: Solve for x
    x = 25,585,449.38/4,546.29
  6. Step 6: Final answer
    x = 5,627.76

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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.