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Finding the Fourth Proportional to 4,668.21, 6,441.74 and 2,651.61

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Solution

The fourth proportional to 4,668.21, 6,441.74 and 2,651.61 is: 3,658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.21 : 6,441.74 = 2,651.61 : x
  2. Step 2: Convert to fraction form
    4,668.21/6,441.74 = 2,651.61/x
  3. Step 3: Cross multiply
    4,668.21x = 6,441.74 × 2,651.61
  4. Step 4: Simplify right side
    4,668.21x = 17,080,936.73
  5. Step 5: Solve for x
    x = 17,080,936.73/4,668.21
  6. Step 6: Final answer
    x = 3,658.99

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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.