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Finding the Fourth Proportional to 5,694.96, 8,542.08 and 1,801.92

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Solution

The fourth proportional to 5,694.96, 8,542.08 and 1,801.92 is: 2,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.96 : 8,542.08 = 1,801.92 : x
  2. Step 2: Convert to fraction form
    5,694.96/8,542.08 = 1,801.92/x
  3. Step 3: Cross multiply
    5,694.96x = 8,542.08 × 1,801.92
  4. Step 4: Simplify right side
    5,694.96x = 15,392,144.79
  5. Step 5: Solve for x
    x = 15,392,144.79/5,694.96
  6. Step 6: Final answer
    x = 2,702.77

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