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Finding the Fourth Proportional to 5,463.92, 8,184 and 3,384.48

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Solution

The fourth proportional to 5,463.92, 8,184 and 3,384.48 is: 5,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.92 : 8,184 = 3,384.48 : x
  2. Step 2: Convert to fraction form
    5,463.92/8,184 = 3,384.48/x
  3. Step 3: Cross multiply
    5,463.92x = 8,184 × 3,384.48
  4. Step 4: Simplify right side
    5,463.92x = 27,698,584.32
  5. Step 5: Solve for x
    x = 27,698,584.32/5,463.92
  6. Step 6: Final answer
    x = 5,069.36

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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.