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Finding the Fourth Proportional to 3,806.85, 5,253.42 and 2,128.25

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Solution

The fourth proportional to 3,806.85, 5,253.42 and 2,128.25 is: 2,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.85 : 5,253.42 = 2,128.25 : x
  2. Step 2: Convert to fraction form
    3,806.85/5,253.42 = 2,128.25/x
  3. Step 3: Cross multiply
    3,806.85x = 5,253.42 × 2,128.25
  4. Step 4: Simplify right side
    3,806.85x = 11,180,572.83
  5. Step 5: Solve for x
    x = 11,180,572.83/3,806.85
  6. Step 6: Final answer
    x = 2,936.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.