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Finding the Fourth Proportional to 3,448.19, 5,173.10 and 983.04

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Solution

The fourth proportional to 3,448.19, 5,173.10 and 983.04 is: 1,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.19 : 5,173.10 = 983.04 : x
  2. Step 2: Convert to fraction form
    3,448.19/5,173.10 = 983.04/x
  3. Step 3: Cross multiply
    3,448.19x = 5,173.10 × 983.04
  4. Step 4: Simplify right side
    3,448.19x = 5,085,359.31
  5. Step 5: Solve for x
    x = 5,085,359.31/3,448.19
  6. Step 6: Final answer
    x = 1,474.79

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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.