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Finding the Fourth Proportional to 3,636.34, 5,012.99 and 2,849.02

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Solution

The fourth proportional to 3,636.34, 5,012.99 and 2,849.02 is: 3,927.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.34 : 5,012.99 = 2,849.02 : x
  2. Step 2: Convert to fraction form
    3,636.34/5,012.99 = 2,849.02/x
  3. Step 3: Cross multiply
    3,636.34x = 5,012.99 × 2,849.02
  4. Step 4: Simplify right side
    3,636.34x = 14,282,120.87
  5. Step 5: Solve for x
    x = 14,282,120.87/3,636.34
  6. Step 6: Final answer
    x = 3,927.61

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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.