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Finding the Fourth Proportional to 3,658.47, 5,474.95 and 2,992.65

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Solution

The fourth proportional to 3,658.47, 5,474.95 and 2,992.65 is: 4,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.47 : 5,474.95 = 2,992.65 : x
  2. Step 2: Convert to fraction form
    3,658.47/5,474.95 = 2,992.65/x
  3. Step 3: Cross multiply
    3,658.47x = 5,474.95 × 2,992.65
  4. Step 4: Simplify right side
    3,658.47x = 16,384,601.64
  5. Step 5: Solve for x
    x = 16,384,601.64/3,658.47
  6. Step 6: Final answer
    x = 4,478.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.