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Finding the Fourth Proportional to 3,833, 5,752.06 and 1,401

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Solution

The fourth proportional to 3,833, 5,752.06 and 1,401 is: 2,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833 : 5,752.06 = 1,401 : x
  2. Step 2: Convert to fraction form
    3,833/5,752.06 = 1,401/x
  3. Step 3: Cross multiply
    3,833x = 5,752.06 × 1,401
  4. Step 4: Simplify right side
    3,833x = 8,058,636.06
  5. Step 5: Solve for x
    x = 8,058,636.06/3,833
  6. Step 6: Final answer
    x = 2,102.44

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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.