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Finding the Fourth Proportional to 3,285.06, 4,927.89 and 1,310.22

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Solution

The fourth proportional to 3,285.06, 4,927.89 and 1,310.22 is: 1,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.06 : 4,927.89 = 1,310.22 : x
  2. Step 2: Convert to fraction form
    3,285.06/4,927.89 = 1,310.22/x
  3. Step 3: Cross multiply
    3,285.06x = 4,927.89 × 1,310.22
  4. Step 4: Simplify right side
    3,285.06x = 6,456,620.04
  5. Step 5: Solve for x
    x = 6,456,620.04/3,285.06
  6. Step 6: Final answer
    x = 1,965.45

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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.