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Finding the Fourth Proportional to 3,402.12, 5,103.47 and 1,454.34

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Solution

The fourth proportional to 3,402.12, 5,103.47 and 1,454.34 is: 2,181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.12 : 5,103.47 = 1,454.34 : x
  2. Step 2: Convert to fraction form
    3,402.12/5,103.47 = 1,454.34/x
  3. Step 3: Cross multiply
    3,402.12x = 5,103.47 × 1,454.34
  4. Step 4: Simplify right side
    3,402.12x = 7,422,180.56
  5. Step 5: Solve for x
    x = 7,422,180.56/3,402.12
  6. Step 6: Final answer
    x = 2,181.63

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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.