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Finding the Fourth Proportional to 4,546.40, 6,819.60 and 4,157.60

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Solution

The fourth proportional to 4,546.40, 6,819.60 and 4,157.60 is: 6,236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.40 : 6,819.60 = 4,157.60 : x
  2. Step 2: Convert to fraction form
    4,546.40/6,819.60 = 4,157.60/x
  3. Step 3: Cross multiply
    4,546.40x = 6,819.60 × 4,157.60
  4. Step 4: Simplify right side
    4,546.40x = 28,353,168.96
  5. Step 5: Solve for x
    x = 28,353,168.96/4,546.40
  6. Step 6: Final answer
    x = 6,236.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.