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Finding the Fourth Proportional to 3,426.84, 5,140.22 and 829.78

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Solution

The fourth proportional to 3,426.84, 5,140.22 and 829.78 is: 1,244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.84 : 5,140.22 = 829.78 : x
  2. Step 2: Convert to fraction form
    3,426.84/5,140.22 = 829.78/x
  3. Step 3: Cross multiply
    3,426.84x = 5,140.22 × 829.78
  4. Step 4: Simplify right side
    3,426.84x = 4,265,234.75
  5. Step 5: Solve for x
    x = 4,265,234.75/3,426.84
  6. Step 6: Final answer
    x = 1,244.66

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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.