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Finding the Fourth Proportional to 3,846.94, 5,770.38 and 2,202.32

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Solution

The fourth proportional to 3,846.94, 5,770.38 and 2,202.32 is: 3,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.94 : 5,770.38 = 2,202.32 : x
  2. Step 2: Convert to fraction form
    3,846.94/5,770.38 = 2,202.32/x
  3. Step 3: Cross multiply
    3,846.94x = 5,770.38 × 2,202.32
  4. Step 4: Simplify right side
    3,846.94x = 12,708,223.28
  5. Step 5: Solve for x
    x = 12,708,223.28/3,846.94
  6. Step 6: Final answer
    x = 3,303.46

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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.