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Finding the Fourth Proportional to 5,137.70, 7,713.83 and 4,902.80

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Solution

The fourth proportional to 5,137.70, 7,713.83 and 4,902.80 is: 7,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.70 : 7,713.83 = 4,902.80 : x
  2. Step 2: Convert to fraction form
    5,137.70/7,713.83 = 4,902.80/x
  3. Step 3: Cross multiply
    5,137.70x = 7,713.83 × 4,902.80
  4. Step 4: Simplify right side
    5,137.70x = 37,819,339.41
  5. Step 5: Solve for x
    x = 37,819,339.41/5,137.70
  6. Step 6: Final answer
    x = 7,361.15

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1.5x scale

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.