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Finding the Fourth Proportional to 5,974.73, 8,963.61 and 3,511.64

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Solution

The fourth proportional to 5,974.73, 8,963.61 and 3,511.64 is: 5,268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.73 : 8,963.61 = 3,511.64 : x
  2. Step 2: Convert to fraction form
    5,974.73/8,963.61 = 3,511.64/x
  3. Step 3: Cross multiply
    5,974.73x = 8,963.61 × 3,511.64
  4. Step 4: Simplify right side
    5,974.73x = 31,476,971.42
  5. Step 5: Solve for x
    x = 31,476,971.42/5,974.73
  6. Step 6: Final answer
    x = 5,268.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.