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Finding the Fourth Proportional to 5,858.68, 8,085.18 and 3,206.20

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Solution

The fourth proportional to 5,858.68, 8,085.18 and 3,206.20 is: 4,424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.68 : 8,085.18 = 3,206.20 : x
  2. Step 2: Convert to fraction form
    5,858.68/8,085.18 = 3,206.20/x
  3. Step 3: Cross multiply
    5,858.68x = 8,085.18 × 3,206.20
  4. Step 4: Simplify right side
    5,858.68x = 25,922,704.12
  5. Step 5: Solve for x
    x = 25,922,704.12/5,858.68
  6. Step 6: Final answer
    x = 4,424.67

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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.