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Finding the Fourth Proportional to 5,194.64, 7,170.80 and 3,423.16

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Solution

The fourth proportional to 5,194.64, 7,170.80 and 3,423.16 is: 4,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.64 : 7,170.80 = 3,423.16 : x
  2. Step 2: Convert to fraction form
    5,194.64/7,170.80 = 3,423.16/x
  3. Step 3: Cross multiply
    5,194.64x = 7,170.80 × 3,423.16
  4. Step 4: Simplify right side
    5,194.64x = 24,546,795.73
  5. Step 5: Solve for x
    x = 24,546,795.73/5,194.64
  6. Step 6: Final answer
    x = 4,725.41

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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.