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Finding the Fourth Proportional to 5,941.88, 8,200.04 and 3,289.24

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Solution

The fourth proportional to 5,941.88, 8,200.04 and 3,289.24 is: 4,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.88 : 8,200.04 = 3,289.24 : x
  2. Step 2: Convert to fraction form
    5,941.88/8,200.04 = 3,289.24/x
  3. Step 3: Cross multiply
    5,941.88x = 8,200.04 × 3,289.24
  4. Step 4: Simplify right side
    5,941.88x = 26,971,899.57
  5. Step 5: Solve for x
    x = 26,971,899.57/5,941.88
  6. Step 6: Final answer
    x = 4,539.29

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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.