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Finding the Fourth Proportional to 3,872.36, 5,343.80 and 2,103.92

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Solution

The fourth proportional to 3,872.36, 5,343.80 and 2,103.92 is: 2,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.36 : 5,343.80 = 2,103.92 : x
  2. Step 2: Convert to fraction form
    3,872.36/5,343.80 = 2,103.92/x
  3. Step 3: Cross multiply
    3,872.36x = 5,343.80 × 2,103.92
  4. Step 4: Simplify right side
    3,872.36x = 11,242,946.47
  5. Step 5: Solve for x
    x = 11,242,946.47/3,872.36
  6. Step 6: Final answer
    x = 2,903.39

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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.