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Finding the Fourth Proportional to 3,677.70, 5,506.73 and 1,942.68

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Solution

The fourth proportional to 3,677.70, 5,506.73 and 1,942.68 is: 2,908.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.70 : 5,506.73 = 1,942.68 : x
  2. Step 2: Convert to fraction form
    3,677.70/5,506.73 = 1,942.68/x
  3. Step 3: Cross multiply
    3,677.70x = 5,506.73 × 1,942.68
  4. Step 4: Simplify right side
    3,677.70x = 10,697,804.52
  5. Step 5: Solve for x
    x = 10,697,804.52/3,677.70
  6. Step 6: Final answer
    x = 2,908.83

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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.