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Finding the Fourth Proportional to 3,468.52, 4,786.64 and 1,896.62

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Solution

The fourth proportional to 3,468.52, 4,786.64 and 1,896.62 is: 2,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.52 : 4,786.64 = 1,896.62 : x
  2. Step 2: Convert to fraction form
    3,468.52/4,786.64 = 1,896.62/x
  3. Step 3: Cross multiply
    3,468.52x = 4,786.64 × 1,896.62
  4. Step 4: Simplify right side
    3,468.52x = 9,078,421.52
  5. Step 5: Solve for x
    x = 9,078,421.52/3,468.52
  6. Step 6: Final answer
    x = 2,617.38

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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.