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Finding the Fourth Proportional to 4,969.82, 7,450.99 and 4,284.56

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Solution

The fourth proportional to 4,969.82, 7,450.99 and 4,284.56 is: 6,423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.82 : 7,450.99 = 4,284.56 : x
  2. Step 2: Convert to fraction form
    4,969.82/7,450.99 = 4,284.56/x
  3. Step 3: Cross multiply
    4,969.82x = 7,450.99 × 4,284.56
  4. Step 4: Simplify right side
    4,969.82x = 31,924,221.63
  5. Step 5: Solve for x
    x = 31,924,221.63/4,969.82
  6. Step 6: Final answer
    x = 6,423.61

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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.