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Finding the Fourth Proportional to 3,485.32, 5,238.96 and 3,222.88

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Solution

The fourth proportional to 3,485.32, 5,238.96 and 3,222.88 is: 4,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.32 : 5,238.96 = 3,222.88 : x
  2. Step 2: Convert to fraction form
    3,485.32/5,238.96 = 3,222.88/x
  3. Step 3: Cross multiply
    3,485.32x = 5,238.96 × 3,222.88
  4. Step 4: Simplify right side
    3,485.32x = 16,884,539.40
  5. Step 5: Solve for x
    x = 16,884,539.40/3,485.32
  6. Step 6: Final answer
    x = 4,844.47

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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.