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Finding the Fourth Proportional to 5,947.47, 8,214.39 and 3,954.57

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Solution

The fourth proportional to 5,947.47, 8,214.39 and 3,954.57 is: 5,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.47 : 8,214.39 = 3,954.57 : x
  2. Step 2: Convert to fraction form
    5,947.47/8,214.39 = 3,954.57/x
  3. Step 3: Cross multiply
    5,947.47x = 8,214.39 × 3,954.57
  4. Step 4: Simplify right side
    5,947.47x = 32,484,380.26
  5. Step 5: Solve for x
    x = 32,484,380.26/5,947.47
  6. Step 6: Final answer
    x = 5,461.88

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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.