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Finding the Fourth Proportional to 5,198.89, 7,798.07 and 1,911.77

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Solution

The fourth proportional to 5,198.89, 7,798.07 and 1,911.77 is: 2,867.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.89 : 7,798.07 = 1,911.77 : x
  2. Step 2: Convert to fraction form
    5,198.89/7,798.07 = 1,911.77/x
  3. Step 3: Cross multiply
    5,198.89x = 7,798.07 × 1,911.77
  4. Step 4: Simplify right side
    5,198.89x = 14,908,116.28
  5. Step 5: Solve for x
    x = 14,908,116.28/5,198.89
  6. Step 6: Final answer
    x = 2,867.56

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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.