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Finding the Fourth Proportional to 5,208.26, 7,807.74 and 1,920.56

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Solution

The fourth proportional to 5,208.26, 7,807.74 and 1,920.56 is: 2,879.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.26 : 7,807.74 = 1,920.56 : x
  2. Step 2: Convert to fraction form
    5,208.26/7,807.74 = 1,920.56/x
  3. Step 3: Cross multiply
    5,208.26x = 7,807.74 × 1,920.56
  4. Step 4: Simplify right side
    5,208.26x = 14,995,233.13
  5. Step 5: Solve for x
    x = 14,995,233.13/5,208.26
  6. Step 6: Final answer
    x = 2,879.13

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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.