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Finding the Fourth Proportional to 3,448.97, 5,173.35 and 851.91

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Solution

The fourth proportional to 3,448.97, 5,173.35 and 851.91 is: 1,277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.97 : 5,173.35 = 851.91 : x
  2. Step 2: Convert to fraction form
    3,448.97/5,173.35 = 851.91/x
  3. Step 3: Cross multiply
    3,448.97x = 5,173.35 × 851.91
  4. Step 4: Simplify right side
    3,448.97x = 4,407,228.60
  5. Step 5: Solve for x
    x = 4,407,228.60/3,448.97
  6. Step 6: Final answer
    x = 1,277.84

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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.