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Finding the Fourth Proportional to 4,944.60, 7,419.60 and 2,023.20

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Solution

The fourth proportional to 4,944.60, 7,419.60 and 2,023.20 is: 3,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.60 : 7,419.60 = 2,023.20 : x
  2. Step 2: Convert to fraction form
    4,944.60/7,419.60 = 2,023.20/x
  3. Step 3: Cross multiply
    4,944.60x = 7,419.60 × 2,023.20
  4. Step 4: Simplify right side
    4,944.60x = 15,011,334.72
  5. Step 5: Solve for x
    x = 15,011,334.72/4,944.60
  6. Step 6: Final answer
    x = 3,035.90

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Why These Related Problems?

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