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Finding the Fourth Proportional to 4,093.42, 6,138.60 and 1,753.64

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Solution

The fourth proportional to 4,093.42, 6,138.60 and 1,753.64 is: 2,629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.42 : 6,138.60 = 1,753.64 : x
  2. Step 2: Convert to fraction form
    4,093.42/6,138.60 = 1,753.64/x
  3. Step 3: Cross multiply
    4,093.42x = 6,138.60 × 1,753.64
  4. Step 4: Simplify right side
    4,093.42x = 10,764,894.50
  5. Step 5: Solve for x
    x = 10,764,894.50/4,093.42
  6. Step 6: Final answer
    x = 2,629.80

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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.