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Finding the Fourth Proportional to 3,376.96, 5,065.34 and 3,174.05

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Solution

The fourth proportional to 3,376.96, 5,065.34 and 3,174.05 is: 4,760.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.96 : 5,065.34 = 3,174.05 : x
  2. Step 2: Convert to fraction form
    3,376.96/5,065.34 = 3,174.05/x
  3. Step 3: Cross multiply
    3,376.96x = 5,065.34 × 3,174.05
  4. Step 4: Simplify right side
    3,376.96x = 16,077,639.22
  5. Step 5: Solve for x
    x = 16,077,639.22/3,376.96
  6. Step 6: Final answer
    x = 4,760.98

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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.