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Finding the Fourth Proportional to 5,523.82, 7,623.14 and 3,165.96

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Solution

The fourth proportional to 5,523.82, 7,623.14 and 3,165.96 is: 4,369.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.82 : 7,623.14 = 3,165.96 : x
  2. Step 2: Convert to fraction form
    5,523.82/7,623.14 = 3,165.96/x
  3. Step 3: Cross multiply
    5,523.82x = 7,623.14 × 3,165.96
  4. Step 4: Simplify right side
    5,523.82x = 24,134,569.07
  5. Step 5: Solve for x
    x = 24,134,569.07/5,523.82
  6. Step 6: Final answer
    x = 4,369.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.