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Finding the Fourth Proportional to 3,383.94, 5,070.14 and 1,902.59

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Solution

The fourth proportional to 3,383.94, 5,070.14 and 1,902.59 is: 2,850.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.94 : 5,070.14 = 1,902.59 : x
  2. Step 2: Convert to fraction form
    3,383.94/5,070.14 = 1,902.59/x
  3. Step 3: Cross multiply
    3,383.94x = 5,070.14 × 1,902.59
  4. Step 4: Simplify right side
    3,383.94x = 9,646,388.95
  5. Step 5: Solve for x
    x = 9,646,388.95/3,383.94
  6. Step 6: Final answer
    x = 2,850.64

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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.