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Finding the Fourth Proportional to 5,296.41, 7,945.94 and 3,739.47

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Solution

The fourth proportional to 5,296.41, 7,945.94 and 3,739.47 is: 5,610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.41 : 7,945.94 = 3,739.47 : x
  2. Step 2: Convert to fraction form
    5,296.41/7,945.94 = 3,739.47/x
  3. Step 3: Cross multiply
    5,296.41x = 7,945.94 × 3,739.47
  4. Step 4: Simplify right side
    5,296.41x = 29,713,585.55
  5. Step 5: Solve for x
    x = 29,713,585.55/5,296.41
  6. Step 6: Final answer
    x = 5,610.14

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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.