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Finding the Fourth Proportional to 4,965.99, 6,855.21 and 3,288.21

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Solution

The fourth proportional to 4,965.99, 6,855.21 and 3,288.21 is: 4,539.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.99 : 6,855.21 = 3,288.21 : x
  2. Step 2: Convert to fraction form
    4,965.99/6,855.21 = 3,288.21/x
  3. Step 3: Cross multiply
    4,965.99x = 6,855.21 × 3,288.21
  4. Step 4: Simplify right side
    4,965.99x = 22,541,370.07
  5. Step 5: Solve for x
    x = 22,541,370.07/4,965.99
  6. Step 6: Final answer
    x = 4,539.15

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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.