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Finding the Fourth Proportional to 4,795.60, 7,209.60 and 4,082.80

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Solution

The fourth proportional to 4,795.60, 7,209.60 and 4,082.80 is: 6,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,795.60 : 7,209.60 = 4,082.80 : x
  2. Step 2: Convert to fraction form
    4,795.60/7,209.60 = 4,082.80/x
  3. Step 3: Cross multiply
    4,795.60x = 7,209.60 × 4,082.80
  4. Step 4: Simplify right side
    4,795.60x = 29,435,354.88
  5. Step 5: Solve for x
    x = 29,435,354.88/4,795.60
  6. Step 6: Final answer
    x = 6,137.99

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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.