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Finding the Fourth Proportional to 3,680.47, 5,515.20 and 3,150.22

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Solution

The fourth proportional to 3,680.47, 5,515.20 and 3,150.22 is: 4,720.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.47 : 5,515.20 = 3,150.22 : x
  2. Step 2: Convert to fraction form
    3,680.47/5,515.20 = 3,150.22/x
  3. Step 3: Cross multiply
    3,680.47x = 5,515.20 × 3,150.22
  4. Step 4: Simplify right side
    3,680.47x = 17,374,093.34
  5. Step 5: Solve for x
    x = 17,374,093.34/3,680.47
  6. Step 6: Final answer
    x = 4,720.62

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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.