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Finding the Fourth Proportional to 5,299.24, 7,930.26 and 4,256.68

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Solution

The fourth proportional to 5,299.24, 7,930.26 and 4,256.68 is: 6,370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.24 : 7,930.26 = 4,256.68 : x
  2. Step 2: Convert to fraction form
    5,299.24/7,930.26 = 4,256.68/x
  3. Step 3: Cross multiply
    5,299.24x = 7,930.26 × 4,256.68
  4. Step 4: Simplify right side
    5,299.24x = 33,756,579.14
  5. Step 5: Solve for x
    x = 33,756,579.14/5,299.24
  6. Step 6: Final answer
    x = 6,370.08

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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.