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Finding the Fourth Proportional to 5,198.31, 7,792.85 and 1,910.63

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Solution

The fourth proportional to 5,198.31, 7,792.85 and 1,910.63 is: 2,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.31 : 7,792.85 = 1,910.63 : x
  2. Step 2: Convert to fraction form
    5,198.31/7,792.85 = 1,910.63/x
  3. Step 3: Cross multiply
    5,198.31x = 7,792.85 × 1,910.63
  4. Step 4: Simplify right side
    5,198.31x = 14,889,253.00
  5. Step 5: Solve for x
    x = 14,889,253.00/5,198.31
  6. Step 6: Final answer
    x = 2,864.25

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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.