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Finding the Fourth Proportional to 4,194.94, 6,294.04 and 1,729.30

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Solution

The fourth proportional to 4,194.94, 6,294.04 and 1,729.30 is: 2,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.94 : 6,294.04 = 1,729.30 : x
  2. Step 2: Convert to fraction form
    4,194.94/6,294.04 = 1,729.30/x
  3. Step 3: Cross multiply
    4,194.94x = 6,294.04 × 1,729.30
  4. Step 4: Simplify right side
    4,194.94x = 10,884,283.37
  5. Step 5: Solve for x
    x = 10,884,283.37/4,194.94
  6. Step 6: Final answer
    x = 2,594.62

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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.