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Finding the Fourth Proportional to 4,642.65, 6,399.57 and 3,519.09

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Solution

The fourth proportional to 4,642.65, 6,399.57 and 3,519.09 is: 4,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.65 : 6,399.57 = 3,519.09 : x
  2. Step 2: Convert to fraction form
    4,642.65/6,399.57 = 3,519.09/x
  3. Step 3: Cross multiply
    4,642.65x = 6,399.57 × 3,519.09
  4. Step 4: Simplify right side
    4,642.65x = 22,520,662.79
  5. Step 5: Solve for x
    x = 22,520,662.79/4,642.65
  6. Step 6: Final answer
    x = 4,850.82

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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.