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Finding the Fourth Proportional to 3,314.30, 4,410.97 and 3,314.30

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Solution

The fourth proportional to 3,314.30, 4,410.97 and 3,314.30 is: 4,410.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.30 : 4,410.97 = 3,314.30 : x
  2. Step 2: Convert to fraction form
    3,314.30/4,410.97 = 3,314.30/x
  3. Step 3: Cross multiply
    3,314.30x = 4,410.97 × 3,314.30
  4. Step 4: Simplify right side
    3,314.30x = 14,619,261.30
  5. Step 5: Solve for x
    x = 14,619,261.30/3,314.30
  6. Step 6: Final answer
    x = 4,410.97

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.