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Finding the Fourth Proportional to 3,633.96, 5,011.38 and 2,305.30

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Solution

The fourth proportional to 3,633.96, 5,011.38 and 2,305.30 is: 3,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.96 : 5,011.38 = 2,305.30 : x
  2. Step 2: Convert to fraction form
    3,633.96/5,011.38 = 2,305.30/x
  3. Step 3: Cross multiply
    3,633.96x = 5,011.38 × 2,305.30
  4. Step 4: Simplify right side
    3,633.96x = 11,552,734.31
  5. Step 5: Solve for x
    x = 11,552,734.31/3,633.96
  6. Step 6: Final answer
    x = 3,179.10

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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.