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Finding the Fourth Proportional to 5,786.75, 8,676.79 and 5,094.81

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Solution

The fourth proportional to 5,786.75, 8,676.79 and 5,094.81 is: 7,639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.75 : 8,676.79 = 5,094.81 : x
  2. Step 2: Convert to fraction form
    5,786.75/8,676.79 = 5,094.81/x
  3. Step 3: Cross multiply
    5,786.75x = 8,676.79 × 5,094.81
  4. Step 4: Simplify right side
    5,786.75x = 44,206,583.72
  5. Step 5: Solve for x
    x = 44,206,583.72/5,786.75
  6. Step 6: Final answer
    x = 7,639.27

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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.