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Finding the Fourth Proportional to 3,644.10, 5,452.65 and 2,672.10

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Solution

The fourth proportional to 3,644.10, 5,452.65 and 2,672.10 is: 3,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.10 : 5,452.65 = 2,672.10 : x
  2. Step 2: Convert to fraction form
    3,644.10/5,452.65 = 2,672.10/x
  3. Step 3: Cross multiply
    3,644.10x = 5,452.65 × 2,672.10
  4. Step 4: Simplify right side
    3,644.10x = 14,570,026.07
  5. Step 5: Solve for x
    x = 14,570,026.07/3,644.10
  6. Step 6: Final answer
    x = 3,998.25

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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.