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Finding the Fourth Proportional to 5,452.64, 8,179.44 and 1,990.16

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Solution

The fourth proportional to 5,452.64, 8,179.44 and 1,990.16 is: 2,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.64 : 8,179.44 = 1,990.16 : x
  2. Step 2: Convert to fraction form
    5,452.64/8,179.44 = 1,990.16/x
  3. Step 3: Cross multiply
    5,452.64x = 8,179.44 × 1,990.16
  4. Step 4: Simplify right side
    5,452.64x = 16,278,394.31
  5. Step 5: Solve for x
    x = 16,278,394.31/5,452.64
  6. Step 6: Final answer
    x = 2,985.42

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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.