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Finding the Fourth Proportional to 3,436.17, 5,154.26 and 839.11

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Solution

The fourth proportional to 3,436.17, 5,154.26 and 839.11 is: 1,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.17 : 5,154.26 = 839.11 : x
  2. Step 2: Convert to fraction form
    3,436.17/5,154.26 = 839.11/x
  3. Step 3: Cross multiply
    3,436.17x = 5,154.26 × 839.11
  4. Step 4: Simplify right side
    3,436.17x = 4,324,986.05
  5. Step 5: Solve for x
    x = 4,324,986.05/3,436.17
  6. Step 6: Final answer
    x = 1,258.66

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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.