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Finding the Fourth Proportional to 3,941.44, 5,913.92 and 1,995

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Solution

The fourth proportional to 3,941.44, 5,913.92 and 1,995 is: 2,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.44 : 5,913.92 = 1,995 : x
  2. Step 2: Convert to fraction form
    3,941.44/5,913.92 = 1,995/x
  3. Step 3: Cross multiply
    3,941.44x = 5,913.92 × 1,995
  4. Step 4: Simplify right side
    3,941.44x = 11,798,270.40
  5. Step 5: Solve for x
    x = 11,798,270.40/3,941.44
  6. Step 6: Final answer
    x = 2,993.39

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1.5x scale

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.