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Finding the Fourth Proportional to 3,530.43, 5,291.11 and 1,447.94

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Solution

The fourth proportional to 3,530.43, 5,291.11 and 1,447.94 is: 2,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.43 : 5,291.11 = 1,447.94 : x
  2. Step 2: Convert to fraction form
    3,530.43/5,291.11 = 1,447.94/x
  3. Step 3: Cross multiply
    3,530.43x = 5,291.11 × 1,447.94
  4. Step 4: Simplify right side
    3,530.43x = 7,661,224.85
  5. Step 5: Solve for x
    x = 7,661,224.85/3,530.43
  6. Step 6: Final answer
    x = 2,170.05

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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.