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Finding the Fourth Proportional to 3,468.32, 4,786.38 and 1,896.44

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Solution

The fourth proportional to 3,468.32, 4,786.38 and 1,896.44 is: 2,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.32 : 4,786.38 = 1,896.44 : x
  2. Step 2: Convert to fraction form
    3,468.32/4,786.38 = 1,896.44/x
  3. Step 3: Cross multiply
    3,468.32x = 4,786.38 × 1,896.44
  4. Step 4: Simplify right side
    3,468.32x = 9,077,082.49
  5. Step 5: Solve for x
    x = 9,077,082.49/3,468.32
  6. Step 6: Final answer
    x = 2,617.14

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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.