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Finding the Fourth Proportional to 5,749.77, 7,934.55 and 3,197.36

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Solution

The fourth proportional to 5,749.77, 7,934.55 and 3,197.36 is: 4,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.77 : 7,934.55 = 3,197.36 : x
  2. Step 2: Convert to fraction form
    5,749.77/7,934.55 = 3,197.36/x
  3. Step 3: Cross multiply
    5,749.77x = 7,934.55 × 3,197.36
  4. Step 4: Simplify right side
    5,749.77x = 25,369,573.12
  5. Step 5: Solve for x
    x = 25,369,573.12/5,749.77
  6. Step 6: Final answer
    x = 4,412.28

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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.