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Finding the Fourth Proportional to 3,374.84, 5,059.56 and 1,969.09

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Solution

The fourth proportional to 3,374.84, 5,059.56 and 1,969.09 is: 2,952.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.84 : 5,059.56 = 1,969.09 : x
  2. Step 2: Convert to fraction form
    3,374.84/5,059.56 = 1,969.09/x
  3. Step 3: Cross multiply
    3,374.84x = 5,059.56 × 1,969.09
  4. Step 4: Simplify right side
    3,374.84x = 9,962,729.00
  5. Step 5: Solve for x
    x = 9,962,729.00/3,374.84
  6. Step 6: Final answer
    x = 2,952.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.