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Finding the Fourth Proportional to 5,623.82, 7,760.81 and 3,106.04

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Solution

The fourth proportional to 5,623.82, 7,760.81 and 3,106.04 is: 4,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.82 : 7,760.81 = 3,106.04 : x
  2. Step 2: Convert to fraction form
    5,623.82/7,760.81 = 3,106.04/x
  3. Step 3: Cross multiply
    5,623.82x = 7,760.81 × 3,106.04
  4. Step 4: Simplify right side
    5,623.82x = 24,105,331.96
  5. Step 5: Solve for x
    x = 24,105,331.96/5,623.82
  6. Step 6: Final answer
    x = 4,286.30

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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.