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Finding the Fourth Proportional to 5,299.66, 7,949.49 and 2,376.37

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Solution

The fourth proportional to 5,299.66, 7,949.49 and 2,376.37 is: 3,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.66 : 7,949.49 = 2,376.37 : x
  2. Step 2: Convert to fraction form
    5,299.66/7,949.49 = 2,376.37/x
  3. Step 3: Cross multiply
    5,299.66x = 7,949.49 × 2,376.37
  4. Step 4: Simplify right side
    5,299.66x = 18,890,929.55
  5. Step 5: Solve for x
    x = 18,890,929.55/5,299.66
  6. Step 6: Final answer
    x = 3,564.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.