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Finding the Fourth Proportional to 5,786.20, 8,122.55 and 5,786.20

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Solution

The fourth proportional to 5,786.20, 8,122.55 and 5,786.20 is: 8,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.20 : 8,122.55 = 5,786.20 : x
  2. Step 2: Convert to fraction form
    5,786.20/8,122.55 = 5,786.20/x
  3. Step 3: Cross multiply
    5,786.20x = 8,122.55 × 5,786.20
  4. Step 4: Simplify right side
    5,786.20x = 46,998,698.81
  5. Step 5: Solve for x
    x = 46,998,698.81/5,786.20
  6. Step 6: Final answer
    x = 8,122.55

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.