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Finding the Fourth Proportional to 5,687.94, 8,528.25 and 3,734.22

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Solution

The fourth proportional to 5,687.94, 8,528.25 and 3,734.22 is: 5,598.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.94 : 8,528.25 = 3,734.22 : x
  2. Step 2: Convert to fraction form
    5,687.94/8,528.25 = 3,734.22/x
  3. Step 3: Cross multiply
    5,687.94x = 8,528.25 × 3,734.22
  4. Step 4: Simplify right side
    5,687.94x = 31,846,361.72
  5. Step 5: Solve for x
    x = 31,846,361.72/5,687.94
  6. Step 6: Final answer
    x = 5,598.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.