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Finding the Fourth Proportional to 5,947.53, 8,202.97 and 4,060.63

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Solution

The fourth proportional to 5,947.53, 8,202.97 and 4,060.63 is: 5,600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.53 : 8,202.97 = 4,060.63 : x
  2. Step 2: Convert to fraction form
    5,947.53/8,202.97 = 4,060.63/x
  3. Step 3: Cross multiply
    5,947.53x = 8,202.97 × 4,060.63
  4. Step 4: Simplify right side
    5,947.53x = 33,309,226.07
  5. Step 5: Solve for x
    x = 33,309,226.07/5,947.53
  6. Step 6: Final answer
    x = 5,600.51

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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.