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Finding the Fourth Proportional to 3,384.35, 5,076.85 and 919.19

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Solution

The fourth proportional to 3,384.35, 5,076.85 and 919.19 is: 1,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.35 : 5,076.85 = 919.19 : x
  2. Step 2: Convert to fraction form
    3,384.35/5,076.85 = 919.19/x
  3. Step 3: Cross multiply
    3,384.35x = 5,076.85 × 919.19
  4. Step 4: Simplify right side
    3,384.35x = 4,666,589.75
  5. Step 5: Solve for x
    x = 4,666,589.75/3,384.35
  6. Step 6: Final answer
    x = 1,378.87

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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.