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Finding the Fourth Proportional to 6,464.96, 8,922.60 and 3,948.51

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Solution

The fourth proportional to 6,464.96, 8,922.60 and 3,948.51 is: 5,449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.96 : 8,922.60 = 3,948.51 : x
  2. Step 2: Convert to fraction form
    6,464.96/8,922.60 = 3,948.51/x
  3. Step 3: Cross multiply
    6,464.96x = 8,922.60 × 3,948.51
  4. Step 4: Simplify right side
    6,464.96x = 35,230,975.33
  5. Step 5: Solve for x
    x = 35,230,975.33/6,464.96
  6. Step 6: Final answer
    x = 5,449.53

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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.