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Finding the Fourth Proportional to 5,198.88, 7,798.32 and 1,911.92

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Solution

The fourth proportional to 5,198.88, 7,798.32 and 1,911.92 is: 2,867.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.88 : 7,798.32 = 1,911.92 : x
  2. Step 2: Convert to fraction form
    5,198.88/7,798.32 = 1,911.92/x
  3. Step 3: Cross multiply
    5,198.88x = 7,798.32 × 1,911.92
  4. Step 4: Simplify right side
    5,198.88x = 14,909,763.97
  5. Step 5: Solve for x
    x = 14,909,763.97/5,198.88
  6. Step 6: Final answer
    x = 2,867.88

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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.