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Finding the Fourth Proportional to 5,104.54, 7,658.46 and 2,505.66

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Solution

The fourth proportional to 5,104.54, 7,658.46 and 2,505.66 is: 3,759.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.54 : 7,658.46 = 2,505.66 : x
  2. Step 2: Convert to fraction form
    5,104.54/7,658.46 = 2,505.66/x
  3. Step 3: Cross multiply
    5,104.54x = 7,658.46 × 2,505.66
  4. Step 4: Simplify right side
    5,104.54x = 19,189,496.88
  5. Step 5: Solve for x
    x = 19,189,496.88/5,104.54
  6. Step 6: Final answer
    x = 3,759.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.