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Finding the Fourth Proportional to 3,165.44, 4,367.84 and 1,838.88

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Solution

The fourth proportional to 3,165.44, 4,367.84 and 1,838.88 is: 2,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.44 : 4,367.84 = 1,838.88 : x
  2. Step 2: Convert to fraction form
    3,165.44/4,367.84 = 1,838.88/x
  3. Step 3: Cross multiply
    3,165.44x = 4,367.84 × 1,838.88
  4. Step 4: Simplify right side
    3,165.44x = 8,031,924.42
  5. Step 5: Solve for x
    x = 8,031,924.42/3,165.44
  6. Step 6: Final answer
    x = 2,537.38

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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.