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Finding the Fourth Proportional to 3,275.99, 4,911.54 and 2,945.96

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Solution

The fourth proportional to 3,275.99, 4,911.54 and 2,945.96 is: 4,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.99 : 4,911.54 = 2,945.96 : x
  2. Step 2: Convert to fraction form
    3,275.99/4,911.54 = 2,945.96/x
  3. Step 3: Cross multiply
    3,275.99x = 4,911.54 × 2,945.96
  4. Step 4: Simplify right side
    3,275.99x = 14,469,175.82
  5. Step 5: Solve for x
    x = 14,469,175.82/3,275.99
  6. Step 6: Final answer
    x = 4,416.74

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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.