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Finding the Fourth Proportional to 5,677.88, 7,835.90 and 3,160.44

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Solution

The fourth proportional to 5,677.88, 7,835.90 and 3,160.44 is: 4,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.88 : 7,835.90 = 3,160.44 : x
  2. Step 2: Convert to fraction form
    5,677.88/7,835.90 = 3,160.44/x
  3. Step 3: Cross multiply
    5,677.88x = 7,835.90 × 3,160.44
  4. Step 4: Simplify right side
    5,677.88x = 24,764,891.80
  5. Step 5: Solve for x
    x = 24,764,891.80/5,677.88
  6. Step 6: Final answer
    x = 4,361.64

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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.