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Finding the Fourth Proportional to 3,376.56, 5,064.84 and 911.38

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Solution

The fourth proportional to 3,376.56, 5,064.84 and 911.38 is: 1,367.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.56 : 5,064.84 = 911.38 : x
  2. Step 2: Convert to fraction form
    3,376.56/5,064.84 = 911.38/x
  3. Step 3: Cross multiply
    3,376.56x = 5,064.84 × 911.38
  4. Step 4: Simplify right side
    3,376.56x = 4,615,977.75
  5. Step 5: Solve for x
    x = 4,615,977.75/3,376.56
  6. Step 6: Final answer
    x = 1,367.06

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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.