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Finding the Fourth Proportional to 4,878.35, 6,732.74 and 3,201.17

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Solution

The fourth proportional to 4,878.35, 6,732.74 and 3,201.17 is: 4,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.35 : 6,732.74 = 3,201.17 : x
  2. Step 2: Convert to fraction form
    4,878.35/6,732.74 = 3,201.17/x
  3. Step 3: Cross multiply
    4,878.35x = 6,732.74 × 3,201.17
  4. Step 4: Simplify right side
    4,878.35x = 21,552,629.30
  5. Step 5: Solve for x
    x = 21,552,629.30/4,878.35
  6. Step 6: Final answer
    x = 4,418.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.