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Finding the Fourth Proportional to 3,448.28, 5,173.23 and 983.14

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Solution

The fourth proportional to 3,448.28, 5,173.23 and 983.14 is: 1,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.28 : 5,173.23 = 983.14 : x
  2. Step 2: Convert to fraction form
    3,448.28/5,173.23 = 983.14/x
  3. Step 3: Cross multiply
    3,448.28x = 5,173.23 × 983.14
  4. Step 4: Simplify right side
    3,448.28x = 5,085,983.48
  5. Step 5: Solve for x
    x = 5,085,983.48/3,448.28
  6. Step 6: Final answer
    x = 1,474.93

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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.