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Finding the Fourth Proportional to 3,663.29, 5,055.33 and 1,984.65

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Solution

The fourth proportional to 3,663.29, 5,055.33 and 1,984.65 is: 2,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.29 : 5,055.33 = 1,984.65 : x
  2. Step 2: Convert to fraction form
    3,663.29/5,055.33 = 1,984.65/x
  3. Step 3: Cross multiply
    3,663.29x = 5,055.33 × 1,984.65
  4. Step 4: Simplify right side
    3,663.29x = 10,033,066.44
  5. Step 5: Solve for x
    x = 10,033,066.44/3,663.29
  6. Step 6: Final answer
    x = 2,738.81

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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.