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Finding the Fourth Proportional to 3,757, 5,634.16 and 1,782.36

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Solution

The fourth proportional to 3,757, 5,634.16 and 1,782.36 is: 2,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757 : 5,634.16 = 1,782.36 : x
  2. Step 2: Convert to fraction form
    3,757/5,634.16 = 1,782.36/x
  3. Step 3: Cross multiply
    3,757x = 5,634.16 × 1,782.36
  4. Step 4: Simplify right side
    3,757x = 10,042,101.42
  5. Step 5: Solve for x
    x = 10,042,101.42/3,757
  6. Step 6: Final answer
    x = 2,672.90

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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.