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Finding the Fourth Proportional to 3,784.69, 5,682.30 and 1,937.26

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Solution

The fourth proportional to 3,784.69, 5,682.30 and 1,937.26 is: 2,908.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.69 : 5,682.30 = 1,937.26 : x
  2. Step 2: Convert to fraction form
    3,784.69/5,682.30 = 1,937.26/x
  3. Step 3: Cross multiply
    3,784.69x = 5,682.30 × 1,937.26
  4. Step 4: Simplify right side
    3,784.69x = 11,008,092.50
  5. Step 5: Solve for x
    x = 11,008,092.50/3,784.69
  6. Step 6: Final answer
    x = 2,908.58

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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.