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Finding the Fourth Proportional to 3,448.26, 5,173.31 and 983.30

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Solution

The fourth proportional to 3,448.26, 5,173.31 and 983.30 is: 1,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.26 : 5,173.31 = 983.30 : x
  2. Step 2: Convert to fraction form
    3,448.26/5,173.31 = 983.30/x
  3. Step 3: Cross multiply
    3,448.26x = 5,173.31 × 983.30
  4. Step 4: Simplify right side
    3,448.26x = 5,086,892.31
  5. Step 5: Solve for x
    x = 5,086,892.31/3,448.26
  6. Step 6: Final answer
    x = 1,475.21

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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.