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Finding the Fourth Proportional to 3,468.32, 4,786.31 and 1,896.51

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Solution

The fourth proportional to 3,468.32, 4,786.31 and 1,896.51 is: 2,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.32 : 4,786.31 = 1,896.51 : x
  2. Step 2: Convert to fraction form
    3,468.32/4,786.31 = 1,896.51/x
  3. Step 3: Cross multiply
    3,468.32x = 4,786.31 × 1,896.51
  4. Step 4: Simplify right side
    3,468.32x = 9,077,289.52
  5. Step 5: Solve for x
    x = 9,077,289.52/3,468.32
  6. Step 6: Final answer
    x = 2,617.20

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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.