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Finding the Fourth Proportional to 3,919.92, 5,849.58 and 3,483.60

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Solution

The fourth proportional to 3,919.92, 5,849.58 and 3,483.60 is: 5,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.92 : 5,849.58 = 3,483.60 : x
  2. Step 2: Convert to fraction form
    3,919.92/5,849.58 = 3,483.60/x
  3. Step 3: Cross multiply
    3,919.92x = 5,849.58 × 3,483.60
  4. Step 4: Simplify right side
    3,919.92x = 20,377,596.89
  5. Step 5: Solve for x
    x = 20,377,596.89/3,919.92
  6. Step 6: Final answer
    x = 5,198.47

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Why These Related Problems?

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