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Finding the Fourth Proportional to 5,402.50, 7,453.11 and 3,164.47

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Solution

The fourth proportional to 5,402.50, 7,453.11 and 3,164.47 is: 4,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.50 : 7,453.11 = 3,164.47 : x
  2. Step 2: Convert to fraction form
    5,402.50/7,453.11 = 3,164.47/x
  3. Step 3: Cross multiply
    5,402.50x = 7,453.11 × 3,164.47
  4. Step 4: Simplify right side
    5,402.50x = 23,585,136.24
  5. Step 5: Solve for x
    x = 23,585,136.24/5,402.50
  6. Step 6: Final answer
    x = 4,365.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.