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Finding the Fourth Proportional to 3,457.69, 4,772.99 and 2,338.09

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Solution

The fourth proportional to 3,457.69, 4,772.99 and 2,338.09 is: 3,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.69 : 4,772.99 = 2,338.09 : x
  2. Step 2: Convert to fraction form
    3,457.69/4,772.99 = 2,338.09/x
  3. Step 3: Cross multiply
    3,457.69x = 4,772.99 × 2,338.09
  4. Step 4: Simplify right side
    3,457.69x = 11,159,668.50
  5. Step 5: Solve for x
    x = 11,159,668.50/3,457.69
  6. Step 6: Final answer
    x = 3,227.49

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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.