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Finding the Fourth Proportional to 3,513.96, 5,270.40 and 1,322.37

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Solution

The fourth proportional to 3,513.96, 5,270.40 and 1,322.37 is: 1,983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.96 : 5,270.40 = 1,322.37 : x
  2. Step 2: Convert to fraction form
    3,513.96/5,270.40 = 1,322.37/x
  3. Step 3: Cross multiply
    3,513.96x = 5,270.40 × 1,322.37
  4. Step 4: Simplify right side
    3,513.96x = 6,969,418.85
  5. Step 5: Solve for x
    x = 6,969,418.85/3,513.96
  6. Step 6: Final answer
    x = 1,983.35

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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.