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Finding the Fourth Proportional to 3,802.44, 5,704.50 and 2,160.12

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Solution

The fourth proportional to 3,802.44, 5,704.50 and 2,160.12 is: 3,240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.44 : 5,704.50 = 2,160.12 : x
  2. Step 2: Convert to fraction form
    3,802.44/5,704.50 = 2,160.12/x
  3. Step 3: Cross multiply
    3,802.44x = 5,704.50 × 2,160.12
  4. Step 4: Simplify right side
    3,802.44x = 12,322,404.54
  5. Step 5: Solve for x
    x = 12,322,404.54/3,802.44
  6. Step 6: Final answer
    x = 3,240.66

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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.