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Finding the Fourth Proportional to 3,661.65, 5,053.05 and 1,983.02

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Solution

The fourth proportional to 3,661.65, 5,053.05 and 1,983.02 is: 2,736.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.65 : 5,053.05 = 1,983.02 : x
  2. Step 2: Convert to fraction form
    3,661.65/5,053.05 = 1,983.02/x
  3. Step 3: Cross multiply
    3,661.65x = 5,053.05 × 1,983.02
  4. Step 4: Simplify right side
    3,661.65x = 10,020,299.49
  5. Step 5: Solve for x
    x = 10,020,299.49/3,661.65
  6. Step 6: Final answer
    x = 2,736.55

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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.