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Finding the Fourth Proportional to 4,553.20, 6,829.80 and 4,115.80

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Solution

The fourth proportional to 4,553.20, 6,829.80 and 4,115.80 is: 6,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.20 : 6,829.80 = 4,115.80 : x
  2. Step 2: Convert to fraction form
    4,553.20/6,829.80 = 4,115.80/x
  3. Step 3: Cross multiply
    4,553.20x = 6,829.80 × 4,115.80
  4. Step 4: Simplify right side
    4,553.20x = 28,110,090.84
  5. Step 5: Solve for x
    x = 28,110,090.84/4,553.20
  6. Step 6: Final answer
    x = 6,173.70

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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.