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Finding the Fourth Proportional to 5,762.61, 7,949.30 and 3,851.73

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Solution

The fourth proportional to 5,762.61, 7,949.30 and 3,851.73 is: 5,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.61 : 7,949.30 = 3,851.73 : x
  2. Step 2: Convert to fraction form
    5,762.61/7,949.30 = 3,851.73/x
  3. Step 3: Cross multiply
    5,762.61x = 7,949.30 × 3,851.73
  4. Step 4: Simplify right side
    5,762.61x = 30,618,538.03
  5. Step 5: Solve for x
    x = 30,618,538.03/5,762.61
  6. Step 6: Final answer
    x = 5,313.31

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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.