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Finding the Fourth Proportional to 3,946.75, 5,919.41 and 1,314

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Solution

The fourth proportional to 3,946.75, 5,919.41 and 1,314 is: 1,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.75 : 5,919.41 = 1,314 : x
  2. Step 2: Convert to fraction form
    3,946.75/5,919.41 = 1,314/x
  3. Step 3: Cross multiply
    3,946.75x = 5,919.41 × 1,314
  4. Step 4: Simplify right side
    3,946.75x = 7,778,108.03
  5. Step 5: Solve for x
    x = 7,778,108.03/3,946.75
  6. Step 6: Final answer
    x = 1,970.76

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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.