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Finding the Fourth Proportional to 3,431.80, 5,142.21 and 3,340.68

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Solution

The fourth proportional to 3,431.80, 5,142.21 and 3,340.68 is: 5,005.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.80 : 5,142.21 = 3,340.68 : x
  2. Step 2: Convert to fraction form
    3,431.80/5,142.21 = 3,340.68/x
  3. Step 3: Cross multiply
    3,431.80x = 5,142.21 × 3,340.68
  4. Step 4: Simplify right side
    3,431.80x = 17,178,478.10
  5. Step 5: Solve for x
    x = 17,178,478.10/3,431.80
  6. Step 6: Final answer
    x = 5,005.68

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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.