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Finding the Fourth Proportional to 3,808.09, 5,705.60 and 3,422.90

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Solution

The fourth proportional to 3,808.09, 5,705.60 and 3,422.90 is: 5,128.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.09 : 5,705.60 = 3,422.90 : x
  2. Step 2: Convert to fraction form
    3,808.09/5,705.60 = 3,422.90/x
  3. Step 3: Cross multiply
    3,808.09x = 5,705.60 × 3,422.90
  4. Step 4: Simplify right side
    3,808.09x = 19,529,698.24
  5. Step 5: Solve for x
    x = 19,529,698.24/3,808.09
  6. Step 6: Final answer
    x = 5,128.48

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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.