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Finding the Fourth Proportional to 5,384, 7,429.92 and 3,176

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Solution

The fourth proportional to 5,384, 7,429.92 and 3,176 is: 4,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384 : 7,429.92 = 3,176 : x
  2. Step 2: Convert to fraction form
    5,384/7,429.92 = 3,176/x
  3. Step 3: Cross multiply
    5,384x = 7,429.92 × 3,176
  4. Step 4: Simplify right side
    5,384x = 23,597,425.92
  5. Step 5: Solve for x
    x = 23,597,425.92/5,384
  6. Step 6: Final answer
    x = 4,382.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.