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Finding the Fourth Proportional to 3,796.30, 5,695.05 and 1,023.08

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Solution

The fourth proportional to 3,796.30, 5,695.05 and 1,023.08 is: 1,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.30 : 5,695.05 = 1,023.08 : x
  2. Step 2: Convert to fraction form
    3,796.30/5,695.05 = 1,023.08/x
  3. Step 3: Cross multiply
    3,796.30x = 5,695.05 × 1,023.08
  4. Step 4: Simplify right side
    3,796.30x = 5,826,503.43
  5. Step 5: Solve for x
    x = 5,826,503.43/3,796.30
  6. Step 6: Final answer
    x = 1,534.78

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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.