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Finding the Fourth Proportional to 3,649.38, 5,036.16 and 1,993.38

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Solution

The fourth proportional to 3,649.38, 5,036.16 and 1,993.38 is: 2,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.38 : 5,036.16 = 1,993.38 : x
  2. Step 2: Convert to fraction form
    3,649.38/5,036.16 = 1,993.38/x
  3. Step 3: Cross multiply
    3,649.38x = 5,036.16 × 1,993.38
  4. Step 4: Simplify right side
    3,649.38x = 10,038,950.46
  5. Step 5: Solve for x
    x = 10,038,950.46/3,649.38
  6. Step 6: Final answer
    x = 2,750.87

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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.