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Finding the Fourth Proportional to 5,176.32, 7,769.94 and 3,229.88

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Solution

The fourth proportional to 5,176.32, 7,769.94 and 3,229.88 is: 4,848.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.32 : 7,769.94 = 3,229.88 : x
  2. Step 2: Convert to fraction form
    5,176.32/7,769.94 = 3,229.88/x
  3. Step 3: Cross multiply
    5,176.32x = 7,769.94 × 3,229.88
  4. Step 4: Simplify right side
    5,176.32x = 25,095,973.81
  5. Step 5: Solve for x
    x = 25,095,973.81/5,176.32
  6. Step 6: Final answer
    x = 4,848.23

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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.