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Finding the Fourth Proportional to 3,383.81, 5,073.42 and 1,192.25

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Solution

The fourth proportional to 3,383.81, 5,073.42 and 1,192.25 is: 1,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.81 : 5,073.42 = 1,192.25 : x
  2. Step 2: Convert to fraction form
    3,383.81/5,073.42 = 1,192.25/x
  3. Step 3: Cross multiply
    3,383.81x = 5,073.42 × 1,192.25
  4. Step 4: Simplify right side
    3,383.81x = 6,048,785.00
  5. Step 5: Solve for x
    x = 6,048,785.00/3,383.81
  6. Step 6: Final answer
    x = 1,787.57

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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.