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Finding the Fourth Proportional to 3,796.40, 5,704.17 and 2,410.39

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Solution

The fourth proportional to 3,796.40, 5,704.17 and 2,410.39 is: 3,621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.40 : 5,704.17 = 2,410.39 : x
  2. Step 2: Convert to fraction form
    3,796.40/5,704.17 = 2,410.39/x
  3. Step 3: Cross multiply
    3,796.40x = 5,704.17 × 2,410.39
  4. Step 4: Simplify right side
    3,796.40x = 13,749,285.98
  5. Step 5: Solve for x
    x = 13,749,285.98/3,796.40
  6. Step 6: Final answer
    x = 3,621.66

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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.