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Finding the Fourth Proportional to 3,485.70, 5,234.22 and 3,310.29

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Solution

The fourth proportional to 3,485.70, 5,234.22 and 3,310.29 is: 4,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.70 : 5,234.22 = 3,310.29 : x
  2. Step 2: Convert to fraction form
    3,485.70/5,234.22 = 3,310.29/x
  3. Step 3: Cross multiply
    3,485.70x = 5,234.22 × 3,310.29
  4. Step 4: Simplify right side
    3,485.70x = 17,326,786.12
  5. Step 5: Solve for x
    x = 17,326,786.12/3,485.70
  6. Step 6: Final answer
    x = 4,970.82

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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.