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Finding the Fourth Proportional to 5,214.73, 7,825.14 and 1,930.12

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Solution

The fourth proportional to 5,214.73, 7,825.14 and 1,930.12 is: 2,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.73 : 7,825.14 = 1,930.12 : x
  2. Step 2: Convert to fraction form
    5,214.73/7,825.14 = 1,930.12/x
  3. Step 3: Cross multiply
    5,214.73x = 7,825.14 × 1,930.12
  4. Step 4: Simplify right side
    5,214.73x = 15,103,459.22
  5. Step 5: Solve for x
    x = 15,103,459.22/5,214.73
  6. Step 6: Final answer
    x = 2,896.31

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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.