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Finding the Fourth Proportional to 5,859.36, 8,085.85 and 3,206.70

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Solution

The fourth proportional to 5,859.36, 8,085.85 and 3,206.70 is: 4,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.36 : 8,085.85 = 3,206.70 : x
  2. Step 2: Convert to fraction form
    5,859.36/8,085.85 = 3,206.70/x
  3. Step 3: Cross multiply
    5,859.36x = 8,085.85 × 3,206.70
  4. Step 4: Simplify right side
    5,859.36x = 25,928,887.18
  5. Step 5: Solve for x
    x = 25,928,887.18/5,859.36
  6. Step 6: Final answer
    x = 4,425.21

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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.