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Finding the Fourth Proportional to 3,658.46, 5,046.77 and 2,329.85

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Solution

The fourth proportional to 3,658.46, 5,046.77 and 2,329.85 is: 3,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.46 : 5,046.77 = 2,329.85 : x
  2. Step 2: Convert to fraction form
    3,658.46/5,046.77 = 2,329.85/x
  3. Step 3: Cross multiply
    3,658.46x = 5,046.77 × 2,329.85
  4. Step 4: Simplify right side
    3,658.46x = 11,758,235.53
  5. Step 5: Solve for x
    x = 11,758,235.53/3,658.46
  6. Step 6: Final answer
    x = 3,213.99

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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.