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Finding the Fourth Proportional to 3,513.89, 5,267.73 and 1,322.71

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Solution

The fourth proportional to 3,513.89, 5,267.73 and 1,322.71 is: 1,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.89 : 5,267.73 = 1,322.71 : x
  2. Step 2: Convert to fraction form
    3,513.89/5,267.73 = 1,322.71/x
  3. Step 3: Cross multiply
    3,513.89x = 5,267.73 × 1,322.71
  4. Step 4: Simplify right side
    3,513.89x = 6,967,679.15
  5. Step 5: Solve for x
    x = 6,967,679.15/3,513.89
  6. Step 6: Final answer
    x = 1,982.90

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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.