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Finding the Fourth Proportional to 3,947.09, 5,453.87 and 3,156.93

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Solution

The fourth proportional to 3,947.09, 5,453.87 and 3,156.93 is: 4,362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.09 : 5,453.87 = 3,156.93 : x
  2. Step 2: Convert to fraction form
    3,947.09/5,453.87 = 3,156.93/x
  3. Step 3: Cross multiply
    3,947.09x = 5,453.87 × 3,156.93
  4. Step 4: Simplify right side
    3,947.09x = 17,217,470.03
  5. Step 5: Solve for x
    x = 17,217,470.03/3,947.09
  6. Step 6: Final answer
    x = 4,362.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.