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Finding the Fourth Proportional to 4,109, 5,670.90 and 2,453

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Solution

The fourth proportional to 4,109, 5,670.90 and 2,453 is: 3,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109 : 5,670.90 = 2,453 : x
  2. Step 2: Convert to fraction form
    4,109/5,670.90 = 2,453/x
  3. Step 3: Cross multiply
    4,109x = 5,670.90 × 2,453
  4. Step 4: Simplify right side
    4,109x = 13,910,717.70
  5. Step 5: Solve for x
    x = 13,910,717.70/4,109
  6. Step 6: Final answer
    x = 3,385.43

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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.