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Finding the Fourth Proportional to 5,098.71, 7,645.49 and 1,811.31

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Solution

The fourth proportional to 5,098.71, 7,645.49 and 1,811.31 is: 2,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.71 : 7,645.49 = 1,811.31 : x
  2. Step 2: Convert to fraction form
    5,098.71/7,645.49 = 1,811.31/x
  3. Step 3: Cross multiply
    5,098.71x = 7,645.49 × 1,811.31
  4. Step 4: Simplify right side
    5,098.71x = 13,848,343.44
  5. Step 5: Solve for x
    x = 13,848,343.44/5,098.71
  6. Step 6: Final answer
    x = 2,716.05

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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.