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Finding the Fourth Proportional to 3,314.96, 4,971.38 and 3,096.56

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Solution

The fourth proportional to 3,314.96, 4,971.38 and 3,096.56 is: 4,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.96 : 4,971.38 = 3,096.56 : x
  2. Step 2: Convert to fraction form
    3,314.96/4,971.38 = 3,096.56/x
  3. Step 3: Cross multiply
    3,314.96x = 4,971.38 × 3,096.56
  4. Step 4: Simplify right side
    3,314.96x = 15,394,173.40
  5. Step 5: Solve for x
    x = 15,394,173.40/3,314.96
  6. Step 6: Final answer
    x = 4,643.85

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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.