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Finding the Fourth Proportional to 5,885.48, 8,121.06 and 3,401

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Solution

The fourth proportional to 5,885.48, 8,121.06 and 3,401 is: 4,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.48 : 8,121.06 = 3,401 : x
  2. Step 2: Convert to fraction form
    5,885.48/8,121.06 = 3,401/x
  3. Step 3: Cross multiply
    5,885.48x = 8,121.06 × 3,401
  4. Step 4: Simplify right side
    5,885.48x = 27,619,725.06
  5. Step 5: Solve for x
    x = 27,619,725.06/5,885.48
  6. Step 6: Final answer
    x = 4,692.86

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Why These Related Problems?

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