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Finding the Fourth Proportional to 4,534.56, 6,791.04 and 3,149.28

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Solution

The fourth proportional to 4,534.56, 6,791.04 and 3,149.28 is: 4,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.56 : 6,791.04 = 3,149.28 : x
  2. Step 2: Convert to fraction form
    4,534.56/6,791.04 = 3,149.28/x
  3. Step 3: Cross multiply
    4,534.56x = 6,791.04 × 3,149.28
  4. Step 4: Simplify right side
    4,534.56x = 21,386,886.45
  5. Step 5: Solve for x
    x = 21,386,886.45/4,534.56
  6. Step 6: Final answer
    x = 4,716.42

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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.