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Finding the Fourth Proportional to 5,262.28, 7,879.96 and 5,106.56

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Solution

The fourth proportional to 5,262.28, 7,879.96 and 5,106.56 is: 7,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.28 : 7,879.96 = 5,106.56 : x
  2. Step 2: Convert to fraction form
    5,262.28/7,879.96 = 5,106.56/x
  3. Step 3: Cross multiply
    5,262.28x = 7,879.96 × 5,106.56
  4. Step 4: Simplify right side
    5,262.28x = 40,239,488.54
  5. Step 5: Solve for x
    x = 40,239,488.54/5,262.28
  6. Step 6: Final answer
    x = 7,646.78

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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.