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Finding the Fourth Proportional to 5,941.64, 8,199.84 and 3,423.80

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Solution

The fourth proportional to 5,941.64, 8,199.84 and 3,423.80 is: 4,725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.64 : 8,199.84 = 3,423.80 : x
  2. Step 2: Convert to fraction form
    5,941.64/8,199.84 = 3,423.80/x
  3. Step 3: Cross multiply
    5,941.64x = 8,199.84 × 3,423.80
  4. Step 4: Simplify right side
    5,941.64x = 28,074,612.19
  5. Step 5: Solve for x
    x = 28,074,612.19/5,941.64
  6. Step 6: Final answer
    x = 4,725.06

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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.