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Finding the Fourth Proportional to 4,878.67, 6,730.41 and 3,833.77

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Solution

The fourth proportional to 4,878.67, 6,730.41 and 3,833.77 is: 5,288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.67 : 6,730.41 = 3,833.77 : x
  2. Step 2: Convert to fraction form
    4,878.67/6,730.41 = 3,833.77/x
  3. Step 3: Cross multiply
    4,878.67x = 6,730.41 × 3,833.77
  4. Step 4: Simplify right side
    4,878.67x = 25,802,843.95
  5. Step 5: Solve for x
    x = 25,802,843.95/4,878.67
  6. Step 6: Final answer
    x = 5,288.91

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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.