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Finding the Fourth Proportional to 3,946.09, 5,919.04 and 984.52

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Solution

The fourth proportional to 3,946.09, 5,919.04 and 984.52 is: 1,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.09 : 5,919.04 = 984.52 : x
  2. Step 2: Convert to fraction form
    3,946.09/5,919.04 = 984.52/x
  3. Step 3: Cross multiply
    3,946.09x = 5,919.04 × 984.52
  4. Step 4: Simplify right side
    3,946.09x = 5,827,413.26
  5. Step 5: Solve for x
    x = 5,827,413.26/3,946.09
  6. Step 6: Final answer
    x = 1,476.76

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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.