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Finding the Fourth Proportional to 3,649.63, 5,036.49 and 1,993.63

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Solution

The fourth proportional to 3,649.63, 5,036.49 and 1,993.63 is: 2,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.63 : 5,036.49 = 1,993.63 : x
  2. Step 2: Convert to fraction form
    3,649.63/5,036.49 = 1,993.63/x
  3. Step 3: Cross multiply
    3,649.63x = 5,036.49 × 1,993.63
  4. Step 4: Simplify right side
    3,649.63x = 10,040,862.41
  5. Step 5: Solve for x
    x = 10,040,862.41/3,649.63
  6. Step 6: Final answer
    x = 2,751.20

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1.5x scale

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.