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Finding the Fourth Proportional to 3,658.46, 5,049.69 and 2,166.89

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Solution

The fourth proportional to 3,658.46, 5,049.69 and 2,166.89 is: 2,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.46 : 5,049.69 = 2,166.89 : x
  2. Step 2: Convert to fraction form
    3,658.46/5,049.69 = 2,166.89/x
  3. Step 3: Cross multiply
    3,658.46x = 5,049.69 × 2,166.89
  4. Step 4: Simplify right side
    3,658.46x = 10,942,122.76
  5. Step 5: Solve for x
    x = 10,942,122.76/3,658.46
  6. Step 6: Final answer
    x = 2,990.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.