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Finding the Fourth Proportional to 3,857.36, 5,784.32 and 1,224.12

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Solution

The fourth proportional to 3,857.36, 5,784.32 and 1,224.12 is: 1,835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.36 : 5,784.32 = 1,224.12 : x
  2. Step 2: Convert to fraction form
    3,857.36/5,784.32 = 1,224.12/x
  3. Step 3: Cross multiply
    3,857.36x = 5,784.32 × 1,224.12
  4. Step 4: Simplify right side
    3,857.36x = 7,080,704.86
  5. Step 5: Solve for x
    x = 7,080,704.86/3,857.36
  6. Step 6: Final answer
    x = 1,835.63

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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.