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Finding the Fourth Proportional to 5,787.73, 8,682.14 and 1,627.73

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Solution

The fourth proportional to 5,787.73, 8,682.14 and 1,627.73 is: 2,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.73 : 8,682.14 = 1,627.73 : x
  2. Step 2: Convert to fraction form
    5,787.73/8,682.14 = 1,627.73/x
  3. Step 3: Cross multiply
    5,787.73x = 8,682.14 × 1,627.73
  4. Step 4: Simplify right side
    5,787.73x = 14,132,179.74
  5. Step 5: Solve for x
    x = 14,132,179.74/5,787.73
  6. Step 6: Final answer
    x = 2,441.75

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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.