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Finding the Fourth Proportional to 3,285.09, 4,920.30 and 2,960.64

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Solution

The fourth proportional to 3,285.09, 4,920.30 and 2,960.64 is: 4,434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.09 : 4,920.30 = 2,960.64 : x
  2. Step 2: Convert to fraction form
    3,285.09/4,920.30 = 2,960.64/x
  3. Step 3: Cross multiply
    3,285.09x = 4,920.30 × 2,960.64
  4. Step 4: Simplify right side
    3,285.09x = 14,567,236.99
  5. Step 5: Solve for x
    x = 14,567,236.99/3,285.09
  6. Step 6: Final answer
    x = 4,434.35

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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.