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Finding the Fourth Proportional to 3,791.28, 5,210.80 and 3,346.48

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Solution

The fourth proportional to 3,791.28, 5,210.80 and 3,346.48 is: 4,599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.28 : 5,210.80 = 3,346.48 : x
  2. Step 2: Convert to fraction form
    3,791.28/5,210.80 = 3,346.48/x
  3. Step 3: Cross multiply
    3,791.28x = 5,210.80 × 3,346.48
  4. Step 4: Simplify right side
    3,791.28x = 17,437,837.98
  5. Step 5: Solve for x
    x = 17,437,837.98/3,791.28
  6. Step 6: Final answer
    x = 4,599.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.