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Finding the Fourth Proportional to 3,197.31, 4,773.53 and 2,705.37

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Solution

The fourth proportional to 3,197.31, 4,773.53 and 2,705.37 is: 4,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.31 : 4,773.53 = 2,705.37 : x
  2. Step 2: Convert to fraction form
    3,197.31/4,773.53 = 2,705.37/x
  3. Step 3: Cross multiply
    3,197.31x = 4,773.53 × 2,705.37
  4. Step 4: Simplify right side
    3,197.31x = 12,914,164.86
  5. Step 5: Solve for x
    x = 12,914,164.86/3,197.31
  6. Step 6: Final answer
    x = 4,039.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.