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Finding the Fourth Proportional to 5,787.14, 7,986.38 and 3,269.36

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Solution

The fourth proportional to 5,787.14, 7,986.38 and 3,269.36 is: 4,511.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.14 : 7,986.38 = 3,269.36 : x
  2. Step 2: Convert to fraction form
    5,787.14/7,986.38 = 3,269.36/x
  3. Step 3: Cross multiply
    5,787.14x = 7,986.38 × 3,269.36
  4. Step 4: Simplify right side
    5,787.14x = 26,110,354.94
  5. Step 5: Solve for x
    x = 26,110,354.94/5,787.14
  6. Step 6: Final answer
    x = 4,511.79

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Why These Related Problems?

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