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Finding the Fourth Proportional to 5,668.11, 7,821.99 and 3,429.54

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Solution

The fourth proportional to 5,668.11, 7,821.99 and 3,429.54 is: 4,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.11 : 7,821.99 = 3,429.54 : x
  2. Step 2: Convert to fraction form
    5,668.11/7,821.99 = 3,429.54/x
  3. Step 3: Cross multiply
    5,668.11x = 7,821.99 × 3,429.54
  4. Step 4: Simplify right side
    5,668.11x = 26,825,827.58
  5. Step 5: Solve for x
    x = 26,825,827.58/5,668.11
  6. Step 6: Final answer
    x = 4,732.76

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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.