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Finding the Fourth Proportional to 5,492.31, 8,224.56 and 3,637.80

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Solution

The fourth proportional to 5,492.31, 8,224.56 and 3,637.80 is: 5,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.31 : 8,224.56 = 3,637.80 : x
  2. Step 2: Convert to fraction form
    5,492.31/8,224.56 = 3,637.80/x
  3. Step 3: Cross multiply
    5,492.31x = 8,224.56 × 3,637.80
  4. Step 4: Simplify right side
    5,492.31x = 29,919,304.37
  5. Step 5: Solve for x
    x = 29,919,304.37/5,492.31
  6. Step 6: Final answer
    x = 5,447.49

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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.