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Finding the Fourth Proportional to 3,857.02, 5,785.72 and 1,224.32

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Solution

The fourth proportional to 3,857.02, 5,785.72 and 1,224.32 is: 1,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.02 : 5,785.72 = 1,224.32 : x
  2. Step 2: Convert to fraction form
    3,857.02/5,785.72 = 1,224.32/x
  3. Step 3: Cross multiply
    3,857.02x = 5,785.72 × 1,224.32
  4. Step 4: Simplify right side
    3,857.02x = 7,083,580.15
  5. Step 5: Solve for x
    x = 7,083,580.15/3,857.02
  6. Step 6: Final answer
    x = 1,836.54

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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.