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Finding the Fourth Proportional to 3,204.64, 4,396.34 and 3,174.40

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Solution

The fourth proportional to 3,204.64, 4,396.34 and 3,174.40 is: 4,354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.64 : 4,396.34 = 3,174.40 : x
  2. Step 2: Convert to fraction form
    3,204.64/4,396.34 = 3,174.40/x
  3. Step 3: Cross multiply
    3,204.64x = 4,396.34 × 3,174.40
  4. Step 4: Simplify right side
    3,204.64x = 13,955,741.70
  5. Step 5: Solve for x
    x = 13,955,741.70/3,204.64
  6. Step 6: Final answer
    x = 4,354.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.