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Finding the Fourth Proportional to 3,919.82, 5,880.74 and 1,455.34

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Solution

The fourth proportional to 3,919.82, 5,880.74 and 1,455.34 is: 2,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.82 : 5,880.74 = 1,455.34 : x
  2. Step 2: Convert to fraction form
    3,919.82/5,880.74 = 1,455.34/x
  3. Step 3: Cross multiply
    3,919.82x = 5,880.74 × 1,455.34
  4. Step 4: Simplify right side
    3,919.82x = 8,558,476.15
  5. Step 5: Solve for x
    x = 8,558,476.15/3,919.82
  6. Step 6: Final answer
    x = 2,183.38

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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.