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Finding the Fourth Proportional to 3,468.24, 4,786.16 and 1,896.32

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Solution

The fourth proportional to 3,468.24, 4,786.16 and 1,896.32 is: 2,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.24 : 4,786.16 = 1,896.32 : x
  2. Step 2: Convert to fraction form
    3,468.24/4,786.16 = 1,896.32/x
  3. Step 3: Cross multiply
    3,468.24x = 4,786.16 × 1,896.32
  4. Step 4: Simplify right side
    3,468.24x = 9,076,090.93
  5. Step 5: Solve for x
    x = 9,076,090.93/3,468.24
  6. Step 6: Final answer
    x = 2,616.92

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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.