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Finding the Fourth Proportional to 5,623.29, 7,760.61 and 3,105.63

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Solution

The fourth proportional to 5,623.29, 7,760.61 and 3,105.63 is: 4,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.29 : 7,760.61 = 3,105.63 : x
  2. Step 2: Convert to fraction form
    5,623.29/7,760.61 = 3,105.63/x
  3. Step 3: Cross multiply
    5,623.29x = 7,760.61 × 3,105.63
  4. Step 4: Simplify right side
    5,623.29x = 24,101,583.23
  5. Step 5: Solve for x
    x = 24,101,583.23/5,623.29
  6. Step 6: Final answer
    x = 4,286.03

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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.