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Finding the Fourth Proportional to 3,806.88, 5,253.75 and 2,128.43

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Solution

The fourth proportional to 3,806.88, 5,253.75 and 2,128.43 is: 2,937.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.88 : 5,253.75 = 2,128.43 : x
  2. Step 2: Convert to fraction form
    3,806.88/5,253.75 = 2,128.43/x
  3. Step 3: Cross multiply
    3,806.88x = 5,253.75 × 2,128.43
  4. Step 4: Simplify right side
    3,806.88x = 11,182,212.84
  5. Step 5: Solve for x
    x = 11,182,212.84/3,806.88
  6. Step 6: Final answer
    x = 2,937.37

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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.