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Finding the Fourth Proportional to 5,702.62, 8,553.32 and 2,699.94

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Solution

The fourth proportional to 5,702.62, 8,553.32 and 2,699.94 is: 4,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.62 : 8,553.32 = 2,699.94 : x
  2. Step 2: Convert to fraction form
    5,702.62/8,553.32 = 2,699.94/x
  3. Step 3: Cross multiply
    5,702.62x = 8,553.32 × 2,699.94
  4. Step 4: Simplify right side
    5,702.62x = 23,093,450.80
  5. Step 5: Solve for x
    x = 23,093,450.80/5,702.62
  6. Step 6: Final answer
    x = 4,049.62

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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.