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Finding the Fourth Proportional to 5,046.25, 6,963.86 and 2,838.25

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Solution

The fourth proportional to 5,046.25, 6,963.86 and 2,838.25 is: 3,916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.25 : 6,963.86 = 2,838.25 : x
  2. Step 2: Convert to fraction form
    5,046.25/6,963.86 = 2,838.25/x
  3. Step 3: Cross multiply
    5,046.25x = 6,963.86 × 2,838.25
  4. Step 4: Simplify right side
    5,046.25x = 19,765,161.45
  5. Step 5: Solve for x
    x = 19,765,161.45/5,046.25
  6. Step 6: Final answer
    x = 3,916.80

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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.