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Finding the Fourth Proportional to 3,436.02, 5,154.04 and 838.96

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Solution

The fourth proportional to 3,436.02, 5,154.04 and 838.96 is: 1,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.02 : 5,154.04 = 838.96 : x
  2. Step 2: Convert to fraction form
    3,436.02/5,154.04 = 838.96/x
  3. Step 3: Cross multiply
    3,436.02x = 5,154.04 × 838.96
  4. Step 4: Simplify right side
    3,436.02x = 4,324,033.40
  5. Step 5: Solve for x
    x = 4,324,033.40/3,436.02
  6. Step 6: Final answer
    x = 1,258.44

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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.