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Finding the Fourth Proportional to 3,449.19, 5,174.60 and 984.04

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Solution

The fourth proportional to 3,449.19, 5,174.60 and 984.04 is: 1,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.19 : 5,174.60 = 984.04 : x
  2. Step 2: Convert to fraction form
    3,449.19/5,174.60 = 984.04/x
  3. Step 3: Cross multiply
    3,449.19x = 5,174.60 × 984.04
  4. Step 4: Simplify right side
    3,449.19x = 5,092,013.38
  5. Step 5: Solve for x
    x = 5,092,013.38/3,449.19
  6. Step 6: Final answer
    x = 1,476.29

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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.