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Finding the Fourth Proportional to 3,633.50, 5,014.39 and 2,141.48

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Solution

The fourth proportional to 3,633.50, 5,014.39 and 2,141.48 is: 2,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.50 : 5,014.39 = 2,141.48 : x
  2. Step 2: Convert to fraction form
    3,633.50/5,014.39 = 2,141.48/x
  3. Step 3: Cross multiply
    3,633.50x = 5,014.39 × 2,141.48
  4. Step 4: Simplify right side
    3,633.50x = 10,738,215.90
  5. Step 5: Solve for x
    x = 10,738,215.90/3,633.50
  6. Step 6: Final answer
    x = 2,955.34

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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.