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Finding the Fourth Proportional to 3,436.13, 5,154.24 and 839.07

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Solution

The fourth proportional to 3,436.13, 5,154.24 and 839.07 is: 1,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.13 : 5,154.24 = 839.07 : x
  2. Step 2: Convert to fraction form
    3,436.13/5,154.24 = 839.07/x
  3. Step 3: Cross multiply
    3,436.13x = 5,154.24 × 839.07
  4. Step 4: Simplify right side
    3,436.13x = 4,324,768.16
  5. Step 5: Solve for x
    x = 4,324,768.16/3,436.13
  6. Step 6: Final answer
    x = 1,258.62

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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.