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Finding the Fourth Proportional to 3,643.92, 5,468.31 and 1,796.31

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Solution

The fourth proportional to 3,643.92, 5,468.31 and 1,796.31 is: 2,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.92 : 5,468.31 = 1,796.31 : x
  2. Step 2: Convert to fraction form
    3,643.92/5,468.31 = 1,796.31/x
  3. Step 3: Cross multiply
    3,643.92x = 5,468.31 × 1,796.31
  4. Step 4: Simplify right side
    3,643.92x = 9,822,779.94
  5. Step 5: Solve for x
    x = 9,822,779.94/3,643.92
  6. Step 6: Final answer
    x = 2,695.66

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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.