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Finding the Fourth Proportional to 4,188.42, 6,245.62 and 4,150.88

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Solution

The fourth proportional to 4,188.42, 6,245.62 and 4,150.88 is: 6,189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.42 : 6,245.62 = 4,150.88 : x
  2. Step 2: Convert to fraction form
    4,188.42/6,245.62 = 4,150.88/x
  3. Step 3: Cross multiply
    4,188.42x = 6,245.62 × 4,150.88
  4. Step 4: Simplify right side
    4,188.42x = 25,924,819.15
  5. Step 5: Solve for x
    x = 25,924,819.15/4,188.42
  6. Step 6: Final answer
    x = 6,189.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.