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Finding the Fourth Proportional to 3,448.01, 5,172.17 and 983

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Solution

The fourth proportional to 3,448.01, 5,172.17 and 983 is: 1,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.01 : 5,172.17 = 983 : x
  2. Step 2: Convert to fraction form
    3,448.01/5,172.17 = 983/x
  3. Step 3: Cross multiply
    3,448.01x = 5,172.17 × 983
  4. Step 4: Simplify right side
    3,448.01x = 5,084,243.11
  5. Step 5: Solve for x
    x = 5,084,243.11/3,448.01
  6. Step 6: Final answer
    x = 1,474.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.