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Finding the Fourth Proportional to 5,965.99, 8,950.88 and 4,654.24

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Solution

The fourth proportional to 5,965.99, 8,950.88 and 4,654.24 is: 6,982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.99 : 8,950.88 = 4,654.24 : x
  2. Step 2: Convert to fraction form
    5,965.99/8,950.88 = 4,654.24/x
  3. Step 3: Cross multiply
    5,965.99x = 8,950.88 × 4,654.24
  4. Step 4: Simplify right side
    5,965.99x = 41,659,543.73
  5. Step 5: Solve for x
    x = 41,659,543.73/5,965.99
  6. Step 6: Final answer
    x = 6,982.84

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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.