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Finding the Fourth Proportional to 3,383.96, 5,074.52 and 1,192.16

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Solution

The fourth proportional to 3,383.96, 5,074.52 and 1,192.16 is: 1,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.96 : 5,074.52 = 1,192.16 : x
  2. Step 2: Convert to fraction form
    3,383.96/5,074.52 = 1,192.16/x
  3. Step 3: Cross multiply
    3,383.96x = 5,074.52 × 1,192.16
  4. Step 4: Simplify right side
    3,383.96x = 6,049,639.76
  5. Step 5: Solve for x
    x = 6,049,639.76/3,383.96
  6. Step 6: Final answer
    x = 1,787.74

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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.