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Finding the Fourth Proportional to 3,449.94, 5,175.71 and 984.79

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Solution

The fourth proportional to 3,449.94, 5,175.71 and 984.79 is: 1,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.94 : 5,175.71 = 984.79 : x
  2. Step 2: Convert to fraction form
    3,449.94/5,175.71 = 984.79/x
  3. Step 3: Cross multiply
    3,449.94x = 5,175.71 × 984.79
  4. Step 4: Simplify right side
    3,449.94x = 5,096,987.45
  5. Step 5: Solve for x
    x = 5,096,987.45/3,449.94
  6. Step 6: Final answer
    x = 1,477.41

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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.