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Finding the Fourth Proportional to 5,209.70, 7,192.73 and 4,649.20

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Solution

The fourth proportional to 5,209.70, 7,192.73 and 4,649.20 is: 6,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.70 : 7,192.73 = 4,649.20 : x
  2. Step 2: Convert to fraction form
    5,209.70/7,192.73 = 4,649.20/x
  3. Step 3: Cross multiply
    5,209.70x = 7,192.73 × 4,649.20
  4. Step 4: Simplify right side
    5,209.70x = 33,440,433.96
  5. Step 5: Solve for x
    x = 33,440,433.96/5,209.70
  6. Step 6: Final answer
    x = 6,418.89

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Similar ratio
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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.