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Finding the Fourth Proportional to 5,989.68, 8,271 and 3,755.43

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Solution

The fourth proportional to 5,989.68, 8,271 and 3,755.43 is: 5,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.68 : 8,271 = 3,755.43 : x
  2. Step 2: Convert to fraction form
    5,989.68/8,271 = 3,755.43/x
  3. Step 3: Cross multiply
    5,989.68x = 8,271 × 3,755.43
  4. Step 4: Simplify right side
    5,989.68x = 31,061,161.53
  5. Step 5: Solve for x
    x = 31,061,161.53/5,989.68
  6. Step 6: Final answer
    x = 5,185.78

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1.5x scale

Why These Related Problems?

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