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Finding the Fourth Proportional to 5,260.26, 7,873.11 and 4,004.08

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Solution

The fourth proportional to 5,260.26, 7,873.11 and 4,004.08 is: 5,992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.26 : 7,873.11 = 4,004.08 : x
  2. Step 2: Convert to fraction form
    5,260.26/7,873.11 = 4,004.08/x
  3. Step 3: Cross multiply
    5,260.26x = 7,873.11 × 4,004.08
  4. Step 4: Simplify right side
    5,260.26x = 31,524,542.91
  5. Step 5: Solve for x
    x = 31,524,542.91/5,260.26
  6. Step 6: Final answer
    x = 5,992.96

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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.