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Finding the Fourth Proportional to 6,164.25, 8,508.83 and 3,680.25

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Solution

The fourth proportional to 6,164.25, 8,508.83 and 3,680.25 is: 5,080.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.25 : 8,508.83 = 3,680.25 : x
  2. Step 2: Convert to fraction form
    6,164.25/8,508.83 = 3,680.25/x
  3. Step 3: Cross multiply
    6,164.25x = 8,508.83 × 3,680.25
  4. Step 4: Simplify right side
    6,164.25x = 31,314,603.21
  5. Step 5: Solve for x
    x = 31,314,603.21/6,164.25
  6. Step 6: Final answer
    x = 5,080.03

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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.