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Finding the Fourth Proportional to 3,456.99, 4,770.59 and 3,174.57

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Solution

The fourth proportional to 3,456.99, 4,770.59 and 3,174.57 is: 4,380.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.99 : 4,770.59 = 3,174.57 : x
  2. Step 2: Convert to fraction form
    3,456.99/4,770.59 = 3,174.57/x
  3. Step 3: Cross multiply
    3,456.99x = 4,770.59 × 3,174.57
  4. Step 4: Simplify right side
    3,456.99x = 15,144,556.02
  5. Step 5: Solve for x
    x = 15,144,556.02/3,456.99
  6. Step 6: Final answer
    x = 4,380.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.