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Finding the Fourth Proportional to 3,448.92, 5,172.54 and 983.04

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Solution

The fourth proportional to 3,448.92, 5,172.54 and 983.04 is: 1,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.92 : 5,172.54 = 983.04 : x
  2. Step 2: Convert to fraction form
    3,448.92/5,172.54 = 983.04/x
  3. Step 3: Cross multiply
    3,448.92x = 5,172.54 × 983.04
  4. Step 4: Simplify right side
    3,448.92x = 5,084,813.72
  5. Step 5: Solve for x
    x = 5,084,813.72/3,448.92
  6. Step 6: Final answer
    x = 1,474.32

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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.