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Finding the Fourth Proportional to 3,436.73, 5,155.05 and 839.69

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Solution

The fourth proportional to 3,436.73, 5,155.05 and 839.69 is: 1,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.73 : 5,155.05 = 839.69 : x
  2. Step 2: Convert to fraction form
    3,436.73/5,155.05 = 839.69/x
  3. Step 3: Cross multiply
    3,436.73x = 5,155.05 × 839.69
  4. Step 4: Simplify right side
    3,436.73x = 4,328,643.93
  5. Step 5: Solve for x
    x = 4,328,643.93/3,436.73
  6. Step 6: Final answer
    x = 1,259.52

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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.