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Finding the Fourth Proportional to 3,661.70, 5,051.96 and 2,244.65

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Solution

The fourth proportional to 3,661.70, 5,051.96 and 2,244.65 is: 3,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.70 : 5,051.96 = 2,244.65 : x
  2. Step 2: Convert to fraction form
    3,661.70/5,051.96 = 2,244.65/x
  3. Step 3: Cross multiply
    3,661.70x = 5,051.96 × 2,244.65
  4. Step 4: Simplify right side
    3,661.70x = 11,339,845.53
  5. Step 5: Solve for x
    x = 11,339,845.53/3,661.70
  6. Step 6: Final answer
    x = 3,096.88

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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.