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Finding the Fourth Proportional to 5,114.84, 7,672.25 and 3,467.30

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Solution

The fourth proportional to 5,114.84, 7,672.25 and 3,467.30 is: 5,200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.84 : 7,672.25 = 3,467.30 : x
  2. Step 2: Convert to fraction form
    5,114.84/7,672.25 = 3,467.30/x
  3. Step 3: Cross multiply
    5,114.84x = 7,672.25 × 3,467.30
  4. Step 4: Simplify right side
    5,114.84x = 26,601,936.73
  5. Step 5: Solve for x
    x = 26,601,936.73/5,114.84
  6. Step 6: Final answer
    x = 5,200.94

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Similar ratio
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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.