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Finding the Fourth Proportional to 4,489.94, 6,734.64 and 2,023.76

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Solution

The fourth proportional to 4,489.94, 6,734.64 and 2,023.76 is: 3,035.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.94 : 6,734.64 = 2,023.76 : x
  2. Step 2: Convert to fraction form
    4,489.94/6,734.64 = 2,023.76/x
  3. Step 3: Cross multiply
    4,489.94x = 6,734.64 × 2,023.76
  4. Step 4: Simplify right side
    4,489.94x = 13,629,295.05
  5. Step 5: Solve for x
    x = 13,629,295.05/4,489.94
  6. Step 6: Final answer
    x = 3,035.52

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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.