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Finding the Fourth Proportional to 3,384.84, 5,077.26 and 919.66

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Solution

The fourth proportional to 3,384.84, 5,077.26 and 919.66 is: 1,379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.84 : 5,077.26 = 919.66 : x
  2. Step 2: Convert to fraction form
    3,384.84/5,077.26 = 919.66/x
  3. Step 3: Cross multiply
    3,384.84x = 5,077.26 × 919.66
  4. Step 4: Simplify right side
    3,384.84x = 4,669,352.93
  5. Step 5: Solve for x
    x = 4,669,352.93/3,384.84
  6. Step 6: Final answer
    x = 1,379.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.