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Finding the Fourth Proportional to 3,436.23, 5,154.30 and 839.19

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Solution

The fourth proportional to 3,436.23, 5,154.30 and 839.19 is: 1,258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.23 : 5,154.30 = 839.19 : x
  2. Step 2: Convert to fraction form
    3,436.23/5,154.30 = 839.19/x
  3. Step 3: Cross multiply
    3,436.23x = 5,154.30 × 839.19
  4. Step 4: Simplify right side
    3,436.23x = 4,325,437.02
  5. Step 5: Solve for x
    x = 4,325,437.02/3,436.23
  6. Step 6: Final answer
    x = 1,258.77

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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.