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Finding the Fourth Proportional to 3,633.63, 5,450.51 and 1,036.63

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Solution

The fourth proportional to 3,633.63, 5,450.51 and 1,036.63 is: 1,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.63 : 5,450.51 = 1,036.63 : x
  2. Step 2: Convert to fraction form
    3,633.63/5,450.51 = 1,036.63/x
  3. Step 3: Cross multiply
    3,633.63x = 5,450.51 × 1,036.63
  4. Step 4: Simplify right side
    3,633.63x = 5,650,162.18
  5. Step 5: Solve for x
    x = 5,650,162.18/3,633.63
  6. Step 6: Final answer
    x = 1,554.96

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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.