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Finding the Fourth Proportional to 5,634.71, 8,453.45 and 1,936.99

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Solution

The fourth proportional to 5,634.71, 8,453.45 and 1,936.99 is: 2,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.71 : 8,453.45 = 1,936.99 : x
  2. Step 2: Convert to fraction form
    5,634.71/8,453.45 = 1,936.99/x
  3. Step 3: Cross multiply
    5,634.71x = 8,453.45 × 1,936.99
  4. Step 4: Simplify right side
    5,634.71x = 16,374,248.12
  5. Step 5: Solve for x
    x = 16,374,248.12/5,634.71
  6. Step 6: Final answer
    x = 2,905.96

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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.