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Finding the Fourth Proportional to 3,194.96, 4,759.42 and 3,098.24

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Solution

The fourth proportional to 3,194.96, 4,759.42 and 3,098.24 is: 4,615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.96 : 4,759.42 = 3,098.24 : x
  2. Step 2: Convert to fraction form
    3,194.96/4,759.42 = 3,098.24/x
  3. Step 3: Cross multiply
    3,194.96x = 4,759.42 × 3,098.24
  4. Step 4: Simplify right side
    3,194.96x = 14,745,825.42
  5. Step 5: Solve for x
    x = 14,745,825.42/3,194.96
  6. Step 6: Final answer
    x = 4,615.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.