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Finding the Fourth Proportional to 3,658.88, 5,488.49 and 1,193.85

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Solution

The fourth proportional to 3,658.88, 5,488.49 and 1,193.85 is: 1,790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.88 : 5,488.49 = 1,193.85 : x
  2. Step 2: Convert to fraction form
    3,658.88/5,488.49 = 1,193.85/x
  3. Step 3: Cross multiply
    3,658.88x = 5,488.49 × 1,193.85
  4. Step 4: Simplify right side
    3,658.88x = 6,552,436.77
  5. Step 5: Solve for x
    x = 6,552,436.77/3,658.88
  6. Step 6: Final answer
    x = 1,790.83

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1.5x scale

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.