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Finding the Fourth Proportional to 3,384.83, 5,077.25 and 919.65

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Solution

The fourth proportional to 3,384.83, 5,077.25 and 919.65 is: 1,379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.83 : 5,077.25 = 919.65 : x
  2. Step 2: Convert to fraction form
    3,384.83/5,077.25 = 919.65/x
  3. Step 3: Cross multiply
    3,384.83x = 5,077.25 × 919.65
  4. Step 4: Simplify right side
    3,384.83x = 4,669,288.36
  5. Step 5: Solve for x
    x = 4,669,288.36/3,384.83
  6. Step 6: Final answer
    x = 1,379.48

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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.