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Finding the Fourth Proportional to 4,546.42, 6,809.63 and 3,757.48

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Solution

The fourth proportional to 4,546.42, 6,809.63 and 3,757.48 is: 5,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.42 : 6,809.63 = 3,757.48 : x
  2. Step 2: Convert to fraction form
    4,546.42/6,809.63 = 3,757.48/x
  3. Step 3: Cross multiply
    4,546.42x = 6,809.63 × 3,757.48
  4. Step 4: Simplify right side
    4,546.42x = 25,587,048.53
  5. Step 5: Solve for x
    x = 25,587,048.53/4,546.42
  6. Step 6: Final answer
    x = 5,627.96

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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.