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Finding the Fourth Proportional to 5,786.97, 8,705.09 and 5,245.68

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Solution

The fourth proportional to 5,786.97, 8,705.09 and 5,245.68 is: 7,890.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.97 : 8,705.09 = 5,245.68 : x
  2. Step 2: Convert to fraction form
    5,786.97/8,705.09 = 5,245.68/x
  3. Step 3: Cross multiply
    5,786.97x = 8,705.09 × 5,245.68
  4. Step 4: Simplify right side
    5,786.97x = 45,664,116.51
  5. Step 5: Solve for x
    x = 45,664,116.51/5,786.97
  6. Step 6: Final answer
    x = 7,890.85

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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.