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Finding the Fourth Proportional to 5,859.41, 8,085.89 and 3,206.75

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Solution

The fourth proportional to 5,859.41, 8,085.89 and 3,206.75 is: 4,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.41 : 8,085.89 = 3,206.75 : x
  2. Step 2: Convert to fraction form
    5,859.41/8,085.89 = 3,206.75/x
  3. Step 3: Cross multiply
    5,859.41x = 8,085.89 × 3,206.75
  4. Step 4: Simplify right side
    5,859.41x = 25,929,395.34
  5. Step 5: Solve for x
    x = 25,929,395.34/5,859.41
  6. Step 6: Final answer
    x = 4,425.26

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