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Finding the Fourth Proportional to 5,290.45, 7,936.22 and 1,827.25

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Solution

The fourth proportional to 5,290.45, 7,936.22 and 1,827.25 is: 2,741.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.45 : 7,936.22 = 1,827.25 : x
  2. Step 2: Convert to fraction form
    5,290.45/7,936.22 = 1,827.25/x
  3. Step 3: Cross multiply
    5,290.45x = 7,936.22 × 1,827.25
  4. Step 4: Simplify right side
    5,290.45x = 14,501,458.00
  5. Step 5: Solve for x
    x = 14,501,458.00/5,290.45
  6. Step 6: Final answer
    x = 2,741.06

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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.