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Finding the Fourth Proportional to 3,766.54, 5,640.06 and 2,600.14

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Solution

The fourth proportional to 3,766.54, 5,640.06 and 2,600.14 is: 3,893.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.54 : 5,640.06 = 2,600.14 : x
  2. Step 2: Convert to fraction form
    3,766.54/5,640.06 = 2,600.14/x
  3. Step 3: Cross multiply
    3,766.54x = 5,640.06 × 2,600.14
  4. Step 4: Simplify right side
    3,766.54x = 14,664,945.61
  5. Step 5: Solve for x
    x = 14,664,945.61/3,766.54
  6. Step 6: Final answer
    x = 3,893.48

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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.