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Finding the Fourth Proportional to 3,299.95, 4,956.77 and 3,189.24

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Solution

The fourth proportional to 3,299.95, 4,956.77 and 3,189.24 is: 4,790.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.95 : 4,956.77 = 3,189.24 : x
  2. Step 2: Convert to fraction form
    3,299.95/4,956.77 = 3,189.24/x
  3. Step 3: Cross multiply
    3,299.95x = 4,956.77 × 3,189.24
  4. Step 4: Simplify right side
    3,299.95x = 15,808,329.15
  5. Step 5: Solve for x
    x = 15,808,329.15/3,299.95
  6. Step 6: Final answer
    x = 4,790.48

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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.