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Finding the Fourth Proportional to 3,752, 5,171.84 and 3,004.80

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Solution

The fourth proportional to 3,752, 5,171.84 and 3,004.80 is: 4,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752 : 5,171.84 = 3,004.80 : x
  2. Step 2: Convert to fraction form
    3,752/5,171.84 = 3,004.80/x
  3. Step 3: Cross multiply
    3,752x = 5,171.84 × 3,004.80
  4. Step 4: Simplify right side
    3,752x = 15,540,344.83
  5. Step 5: Solve for x
    x = 15,540,344.83/3,752
  6. Step 6: Final answer
    x = 4,141.88

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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.