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Finding the Fourth Proportional to 3,285.94, 4,535.01 and 2,169.20

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Solution

The fourth proportional to 3,285.94, 4,535.01 and 2,169.20 is: 2,993.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.94 : 4,535.01 = 2,169.20 : x
  2. Step 2: Convert to fraction form
    3,285.94/4,535.01 = 2,169.20/x
  3. Step 3: Cross multiply
    3,285.94x = 4,535.01 × 2,169.20
  4. Step 4: Simplify right side
    3,285.94x = 9,837,355.03
  5. Step 5: Solve for x
    x = 9,837,355.03/3,285.94
  6. Step 6: Final answer
    x = 2,993.77

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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.