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Finding the Fourth Proportional to 3,662.94, 5,054.85 and 1,984.36

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Solution

The fourth proportional to 3,662.94, 5,054.85 and 1,984.36 is: 2,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.94 : 5,054.85 = 1,984.36 : x
  2. Step 2: Convert to fraction form
    3,662.94/5,054.85 = 1,984.36/x
  3. Step 3: Cross multiply
    3,662.94x = 5,054.85 × 1,984.36
  4. Step 4: Simplify right side
    3,662.94x = 10,030,642.15
  5. Step 5: Solve for x
    x = 10,030,642.15/3,662.94
  6. Step 6: Final answer
    x = 2,738.41

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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.