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Finding the Fourth Proportional to 5,133.92, 7,702.97 and 1,847.27

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Solution

The fourth proportional to 5,133.92, 7,702.97 and 1,847.27 is: 2,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.92 : 7,702.97 = 1,847.27 : x
  2. Step 2: Convert to fraction form
    5,133.92/7,702.97 = 1,847.27/x
  3. Step 3: Cross multiply
    5,133.92x = 7,702.97 × 1,847.27
  4. Step 4: Simplify right side
    5,133.92x = 14,229,456.16
  5. Step 5: Solve for x
    x = 14,229,456.16/5,133.92
  6. Step 6: Final answer
    x = 2,771.66

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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.