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Finding the Fourth Proportional to 3,634.12, 5,447.85 and 1,324

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Solution

The fourth proportional to 3,634.12, 5,447.85 and 1,324 is: 1,984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.12 : 5,447.85 = 1,324 : x
  2. Step 2: Convert to fraction form
    3,634.12/5,447.85 = 1,324/x
  3. Step 3: Cross multiply
    3,634.12x = 5,447.85 × 1,324
  4. Step 4: Simplify right side
    3,634.12x = 7,212,953.40
  5. Step 5: Solve for x
    x = 7,212,953.40/3,634.12
  6. Step 6: Final answer
    x = 1,984.79

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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.