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Finding the Fourth Proportional to 6,106.22, 8,427.00 and 3,453.64

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Solution

The fourth proportional to 6,106.22, 8,427.00 and 3,453.64 is: 4,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.22 : 8,427.00 = 3,453.64 : x
  2. Step 2: Convert to fraction form
    6,106.22/8,427.00 = 3,453.64/x
  3. Step 3: Cross multiply
    6,106.22x = 8,427.00 × 3,453.64
  4. Step 4: Simplify right side
    6,106.22x = 29,103,816.16
  5. Step 5: Solve for x
    x = 29,103,816.16/6,106.22
  6. Step 6: Final answer
    x = 4,766.26

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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.