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Finding the Fourth Proportional to 3,277.84, 4,917.72 and 1,892.16

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Solution

The fourth proportional to 3,277.84, 4,917.72 and 1,892.16 is: 2,838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.84 : 4,917.72 = 1,892.16 : x
  2. Step 2: Convert to fraction form
    3,277.84/4,917.72 = 1,892.16/x
  3. Step 3: Cross multiply
    3,277.84x = 4,917.72 × 1,892.16
  4. Step 4: Simplify right side
    3,277.84x = 9,305,113.08
  5. Step 5: Solve for x
    x = 9,305,113.08/3,277.84
  6. Step 6: Final answer
    x = 2,838.79

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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.