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Finding the Fourth Proportional to 3,893.03, 5,824.92 and 3,682.02

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Solution

The fourth proportional to 3,893.03, 5,824.92 and 3,682.02 is: 5,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.03 : 5,824.92 = 3,682.02 : x
  2. Step 2: Convert to fraction form
    3,893.03/5,824.92 = 3,682.02/x
  3. Step 3: Cross multiply
    3,893.03x = 5,824.92 × 3,682.02
  4. Step 4: Simplify right side
    3,893.03x = 21,447,471.94
  5. Step 5: Solve for x
    x = 21,447,471.94/3,893.03
  6. Step 6: Final answer
    x = 5,509.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.