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Finding the Fourth Proportional to 3,517.44, 5,272.96 and 1,464.32

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Solution

The fourth proportional to 3,517.44, 5,272.96 and 1,464.32 is: 2,195.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.44 : 5,272.96 = 1,464.32 : x
  2. Step 2: Convert to fraction form
    3,517.44/5,272.96 = 1,464.32/x
  3. Step 3: Cross multiply
    3,517.44x = 5,272.96 × 1,464.32
  4. Step 4: Simplify right side
    3,517.44x = 7,721,300.79
  5. Step 5: Solve for x
    x = 7,721,300.79/3,517.44
  6. Step 6: Final answer
    x = 2,195.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.