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Finding the Fourth Proportional to 3,409.54, 4,684.78 and 2,709.70

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Solution

The fourth proportional to 3,409.54, 4,684.78 and 2,709.70 is: 3,723.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.54 : 4,684.78 = 2,709.70 : x
  2. Step 2: Convert to fraction form
    3,409.54/4,684.78 = 2,709.70/x
  3. Step 3: Cross multiply
    3,409.54x = 4,684.78 × 2,709.70
  4. Step 4: Simplify right side
    3,409.54x = 12,694,334.82
  5. Step 5: Solve for x
    x = 12,694,334.82/3,409.54
  6. Step 6: Final answer
    x = 3,723.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.