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Finding the Fourth Proportional to 5,882.78, 8,817.03 and 4,118.06

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Solution

The fourth proportional to 5,882.78, 8,817.03 and 4,118.06 is: 6,172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.78 : 8,817.03 = 4,118.06 : x
  2. Step 2: Convert to fraction form
    5,882.78/8,817.03 = 4,118.06/x
  3. Step 3: Cross multiply
    5,882.78x = 8,817.03 × 4,118.06
  4. Step 4: Simplify right side
    5,882.78x = 36,309,058.56
  5. Step 5: Solve for x
    x = 36,309,058.56/5,882.78
  6. Step 6: Final answer
    x = 6,172.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.