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Finding the Fourth Proportional to 3,796.30, 5,695.23 and 1,605.04

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Solution

The fourth proportional to 3,796.30, 5,695.23 and 1,605.04 is: 2,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.30 : 5,695.23 = 1,605.04 : x
  2. Step 2: Convert to fraction form
    3,796.30/5,695.23 = 1,605.04/x
  3. Step 3: Cross multiply
    3,796.30x = 5,695.23 × 1,605.04
  4. Step 4: Simplify right side
    3,796.30x = 9,141,071.96
  5. Step 5: Solve for x
    x = 9,141,071.96/3,796.30
  6. Step 6: Final answer
    x = 2,407.89

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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.