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Finding the Fourth Proportional to 3,633.52, 5,014.30 and 2,040.52

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Solution

The fourth proportional to 3,633.52, 5,014.30 and 2,040.52 is: 2,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.52 : 5,014.30 = 2,040.52 : x
  2. Step 2: Convert to fraction form
    3,633.52/5,014.30 = 2,040.52/x
  3. Step 3: Cross multiply
    3,633.52x = 5,014.30 × 2,040.52
  4. Step 4: Simplify right side
    3,633.52x = 10,231,779.44
  5. Step 5: Solve for x
    x = 10,231,779.44/3,633.52
  6. Step 6: Final answer
    x = 2,815.94

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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.