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Finding the Fourth Proportional to 3,800.94, 5,729.43 and 3,485.02

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Solution

The fourth proportional to 3,800.94, 5,729.43 and 3,485.02 is: 5,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.94 : 5,729.43 = 3,485.02 : x
  2. Step 2: Convert to fraction form
    3,800.94/5,729.43 = 3,485.02/x
  3. Step 3: Cross multiply
    3,800.94x = 5,729.43 × 3,485.02
  4. Step 4: Simplify right side
    3,800.94x = 19,967,161.54
  5. Step 5: Solve for x
    x = 19,967,161.54/3,800.94
  6. Step 6: Final answer
    x = 5,253.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.