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Finding the Fourth Proportional to 3,677.63, 5,516.44 and 941.63

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Solution

The fourth proportional to 3,677.63, 5,516.44 and 941.63 is: 1,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.63 : 5,516.44 = 941.63 : x
  2. Step 2: Convert to fraction form
    3,677.63/5,516.44 = 941.63/x
  3. Step 3: Cross multiply
    3,677.63x = 5,516.44 × 941.63
  4. Step 4: Simplify right side
    3,677.63x = 5,194,415.46
  5. Step 5: Solve for x
    x = 5,194,415.46/3,677.63
  6. Step 6: Final answer
    x = 1,412.44

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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.