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Finding the Fourth Proportional to 3,661.73, 5,488.71 and 1,195.89

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Solution

The fourth proportional to 3,661.73, 5,488.71 and 1,195.89 is: 1,792.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.73 : 5,488.71 = 1,195.89 : x
  2. Step 2: Convert to fraction form
    3,661.73/5,488.71 = 1,195.89/x
  3. Step 3: Cross multiply
    3,661.73x = 5,488.71 × 1,195.89
  4. Step 4: Simplify right side
    3,661.73x = 6,563,868.33
  5. Step 5: Solve for x
    x = 6,563,868.33/3,661.73
  6. Step 6: Final answer
    x = 1,792.56

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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.