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Finding the Fourth Proportional to 3,513.31, 5,270.23 and 1,321.99

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Solution

The fourth proportional to 3,513.31, 5,270.23 and 1,321.99 is: 1,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.31 : 5,270.23 = 1,321.99 : x
  2. Step 2: Convert to fraction form
    3,513.31/5,270.23 = 1,321.99/x
  3. Step 3: Cross multiply
    3,513.31x = 5,270.23 × 1,321.99
  4. Step 4: Simplify right side
    3,513.31x = 6,967,165.01
  5. Step 5: Solve for x
    x = 6,967,165.01/3,513.31
  6. Step 6: Final answer
    x = 1,983.08

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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.