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Finding the Fourth Proportional to 4,299.33, 6,440.04 and 3,461.88

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Solution

The fourth proportional to 4,299.33, 6,440.04 and 3,461.88 is: 5,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299.33 : 6,440.04 = 3,461.88 : x
  2. Step 2: Convert to fraction form
    4,299.33/6,440.04 = 3,461.88/x
  3. Step 3: Cross multiply
    4,299.33x = 6,440.04 × 3,461.88
  4. Step 4: Simplify right side
    4,299.33x = 22,294,645.68
  5. Step 5: Solve for x
    x = 22,294,645.68/4,299.33
  6. Step 6: Final answer
    x = 5,185.61

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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.