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Finding the Fourth Proportional to 3,285.63, 4,535.25 and 2,091.42

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Solution

The fourth proportional to 3,285.63, 4,535.25 and 2,091.42 is: 2,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.63 : 4,535.25 = 2,091.42 : x
  2. Step 2: Convert to fraction form
    3,285.63/4,535.25 = 2,091.42/x
  3. Step 3: Cross multiply
    3,285.63x = 4,535.25 × 2,091.42
  4. Step 4: Simplify right side
    3,285.63x = 9,485,112.56
  5. Step 5: Solve for x
    x = 9,485,112.56/3,285.63
  6. Step 6: Final answer
    x = 2,886.85

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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.