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Finding the Fourth Proportional to 3,796.41, 5,695.22 and 1,605.16

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Solution

The fourth proportional to 3,796.41, 5,695.22 and 1,605.16 is: 2,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.41 : 5,695.22 = 1,605.16 : x
  2. Step 2: Convert to fraction form
    3,796.41/5,695.22 = 1,605.16/x
  3. Step 3: Cross multiply
    3,796.41x = 5,695.22 × 1,605.16
  4. Step 4: Simplify right side
    3,796.41x = 9,141,739.34
  5. Step 5: Solve for x
    x = 9,141,739.34/3,796.41
  6. Step 6: Final answer
    x = 2,408.00

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Why These Related Problems?

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