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Finding the Fourth Proportional to 5,151.60, 7,729.43 and 3,072.60

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Solution

The fourth proportional to 5,151.60, 7,729.43 and 3,072.60 is: 4,610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.60 : 7,729.43 = 3,072.60 : x
  2. Step 2: Convert to fraction form
    5,151.60/7,729.43 = 3,072.60/x
  3. Step 3: Cross multiply
    5,151.60x = 7,729.43 × 3,072.60
  4. Step 4: Simplify right side
    5,151.60x = 23,749,431.26
  5. Step 5: Solve for x
    x = 23,749,431.26/5,151.60
  6. Step 6: Final answer
    x = 4,610.11

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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.