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Finding the Fourth Proportional to 3,661.51, 5,491.44 and 1,469.65

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Solution

The fourth proportional to 3,661.51, 5,491.44 and 1,469.65 is: 2,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.51 : 5,491.44 = 1,469.65 : x
  2. Step 2: Convert to fraction form
    3,661.51/5,491.44 = 1,469.65/x
  3. Step 3: Cross multiply
    3,661.51x = 5,491.44 × 1,469.65
  4. Step 4: Simplify right side
    3,661.51x = 8,070,494.80
  5. Step 5: Solve for x
    x = 8,070,494.80/3,661.51
  6. Step 6: Final answer
    x = 2,204.14

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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.