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Finding the Fourth Proportional to 5,882.56, 8,108.04 and 3,783.04

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Solution

The fourth proportional to 5,882.56, 8,108.04 and 3,783.04 is: 5,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.56 : 8,108.04 = 3,783.04 : x
  2. Step 2: Convert to fraction form
    5,882.56/8,108.04 = 3,783.04/x
  3. Step 3: Cross multiply
    5,882.56x = 8,108.04 × 3,783.04
  4. Step 4: Simplify right side
    5,882.56x = 30,673,039.64
  5. Step 5: Solve for x
    x = 30,673,039.64/5,882.56
  6. Step 6: Final answer
    x = 5,214.23

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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.