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Finding the Fourth Proportional to 3,423.09, 5,134.64 and 826.03

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Solution

The fourth proportional to 3,423.09, 5,134.64 and 826.03 is: 1,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.09 : 5,134.64 = 826.03 : x
  2. Step 2: Convert to fraction form
    3,423.09/5,134.64 = 826.03/x
  3. Step 3: Cross multiply
    3,423.09x = 5,134.64 × 826.03
  4. Step 4: Simplify right side
    3,423.09x = 4,241,366.68
  5. Step 5: Solve for x
    x = 4,241,366.68/3,423.09
  6. Step 6: Final answer
    x = 1,239.05

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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.