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Finding the Fourth Proportional to 3,406.47, 5,107.96 and 1,324.88

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Solution

The fourth proportional to 3,406.47, 5,107.96 and 1,324.88 is: 1,986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.47 : 5,107.96 = 1,324.88 : x
  2. Step 2: Convert to fraction form
    3,406.47/5,107.96 = 1,324.88/x
  3. Step 3: Cross multiply
    3,406.47x = 5,107.96 × 1,324.88
  4. Step 4: Simplify right side
    3,406.47x = 6,767,434.04
  5. Step 5: Solve for x
    x = 6,767,434.04/3,406.47
  6. Step 6: Final answer
    x = 1,986.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.