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Finding the Fourth Proportional to 5,941.30, 8,199.19 and 3,423.22

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Solution

The fourth proportional to 5,941.30, 8,199.19 and 3,423.22 is: 4,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.30 : 8,199.19 = 3,423.22 : x
  2. Step 2: Convert to fraction form
    5,941.30/8,199.19 = 3,423.22/x
  3. Step 3: Cross multiply
    5,941.30x = 8,199.19 × 3,423.22
  4. Step 4: Simplify right side
    5,941.30x = 28,067,581.64
  5. Step 5: Solve for x
    x = 28,067,581.64/5,941.30
  6. Step 6: Final answer
    x = 4,724.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.