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Finding the Fourth Proportional to 3,658.44, 5,486.49 and 1,192.67

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Solution

The fourth proportional to 3,658.44, 5,486.49 and 1,192.67 is: 1,788.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.44 : 5,486.49 = 1,192.67 : x
  2. Step 2: Convert to fraction form
    3,658.44/5,486.49 = 1,192.67/x
  3. Step 3: Cross multiply
    3,658.44x = 5,486.49 × 1,192.67
  4. Step 4: Simplify right side
    3,658.44x = 6,543,572.03
  5. Step 5: Solve for x
    x = 6,543,572.03/3,658.44
  6. Step 6: Final answer
    x = 1,788.62

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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.