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Finding the Fourth Proportional to 4,109, 5,670.54 and 2,246.12

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Solution

The fourth proportional to 4,109, 5,670.54 and 2,246.12 is: 3,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109 : 5,670.54 = 2,246.12 : x
  2. Step 2: Convert to fraction form
    4,109/5,670.54 = 2,246.12/x
  3. Step 3: Cross multiply
    4,109x = 5,670.54 × 2,246.12
  4. Step 4: Simplify right side
    4,109x = 12,736,713.30
  5. Step 5: Solve for x
    x = 12,736,713.30/4,109
  6. Step 6: Final answer
    x = 3,099.71

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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.