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Finding the Fourth Proportional to 3,703.63, 5,552.67 and 2,242.42

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Solution

The fourth proportional to 3,703.63, 5,552.67 and 2,242.42 is: 3,361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.63 : 5,552.67 = 2,242.42 : x
  2. Step 2: Convert to fraction form
    3,703.63/5,552.67 = 2,242.42/x
  3. Step 3: Cross multiply
    3,703.63x = 5,552.67 × 2,242.42
  4. Step 4: Simplify right side
    3,703.63x = 12,451,418.26
  5. Step 5: Solve for x
    x = 12,451,418.26/3,703.63
  6. Step 6: Final answer
    x = 3,361.95

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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.