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Finding the Fourth Proportional to 3,249.75, 4,485.47 and 1,853.31

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Solution

The fourth proportional to 3,249.75, 4,485.47 and 1,853.31 is: 2,558.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.75 : 4,485.47 = 1,853.31 : x
  2. Step 2: Convert to fraction form
    3,249.75/4,485.47 = 1,853.31/x
  3. Step 3: Cross multiply
    3,249.75x = 4,485.47 × 1,853.31
  4. Step 4: Simplify right side
    3,249.75x = 8,312,957.14
  5. Step 5: Solve for x
    x = 8,312,957.14/3,249.75
  6. Step 6: Final answer
    x = 2,558.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.