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Finding the Fourth Proportional to 3,423.81, 5,135.73 and 826.75

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Solution

The fourth proportional to 3,423.81, 5,135.73 and 826.75 is: 1,240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.81 : 5,135.73 = 826.75 : x
  2. Step 2: Convert to fraction form
    3,423.81/5,135.73 = 826.75/x
  3. Step 3: Cross multiply
    3,423.81x = 5,135.73 × 826.75
  4. Step 4: Simplify right side
    3,423.81x = 4,245,964.78
  5. Step 5: Solve for x
    x = 4,245,964.78/3,423.81
  6. Step 6: Final answer
    x = 1,240.13

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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.