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Finding the Fourth Proportional to 5,976.81, 8,242.77 and 4,183.38

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Solution

The fourth proportional to 5,976.81, 8,242.77 and 4,183.38 is: 5,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.81 : 8,242.77 = 4,183.38 : x
  2. Step 2: Convert to fraction form
    5,976.81/8,242.77 = 4,183.38/x
  3. Step 3: Cross multiply
    5,976.81x = 8,242.77 × 4,183.38
  4. Step 4: Simplify right side
    5,976.81x = 34,482,639.16
  5. Step 5: Solve for x
    x = 34,482,639.16/5,976.81
  6. Step 6: Final answer
    x = 5,769.41

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.