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Finding the Fourth Proportional to 3,206.35, 4,809.52 and 1,474.99

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Solution

The fourth proportional to 3,206.35, 4,809.52 and 1,474.99 is: 2,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.35 : 4,809.52 = 1,474.99 : x
  2. Step 2: Convert to fraction form
    3,206.35/4,809.52 = 1,474.99/x
  3. Step 3: Cross multiply
    3,206.35x = 4,809.52 × 1,474.99
  4. Step 4: Simplify right side
    3,206.35x = 7,093,983.72
  5. Step 5: Solve for x
    x = 7,093,983.72/3,206.35
  6. Step 6: Final answer
    x = 2,212.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.