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Finding the Fourth Proportional to 6,466.44, 8,924.10 and 3,634.08

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Solution

The fourth proportional to 6,466.44, 8,924.10 and 3,634.08 is: 5,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.44 : 8,924.10 = 3,634.08 : x
  2. Step 2: Convert to fraction form
    6,466.44/8,924.10 = 3,634.08/x
  3. Step 3: Cross multiply
    6,466.44x = 8,924.10 × 3,634.08
  4. Step 4: Simplify right side
    6,466.44x = 32,430,893.33
  5. Step 5: Solve for x
    x = 32,430,893.33/6,466.44
  6. Step 6: Final answer
    x = 5,015.26

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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.