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Finding the Fourth Proportional to 3,436.36, 5,154.44 and 839.24

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Solution

The fourth proportional to 3,436.36, 5,154.44 and 839.24 is: 1,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.36 : 5,154.44 = 839.24 : x
  2. Step 2: Convert to fraction form
    3,436.36/5,154.44 = 839.24/x
  3. Step 3: Cross multiply
    3,436.36x = 5,154.44 × 839.24
  4. Step 4: Simplify right side
    3,436.36x = 4,325,812.23
  5. Step 5: Solve for x
    x = 4,325,812.23/3,436.36
  6. Step 6: Final answer
    x = 1,258.84

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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.