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Finding the Fourth Proportional to 5,305.44, 7,958.20 and 1,840.26

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Solution

The fourth proportional to 5,305.44, 7,958.20 and 1,840.26 is: 2,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.44 : 7,958.20 = 1,840.26 : x
  2. Step 2: Convert to fraction form
    5,305.44/7,958.20 = 1,840.26/x
  3. Step 3: Cross multiply
    5,305.44x = 7,958.20 × 1,840.26
  4. Step 4: Simplify right side
    5,305.44x = 14,645,157.13
  5. Step 5: Solve for x
    x = 14,645,157.13/5,305.44
  6. Step 6: Final answer
    x = 2,760.40

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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.