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Finding the Fourth Proportional to 5,238.36, 7,232.64 and 3,473.64

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Solution

The fourth proportional to 5,238.36, 7,232.64 and 3,473.64 is: 4,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.36 : 7,232.64 = 3,473.64 : x
  2. Step 2: Convert to fraction form
    5,238.36/7,232.64 = 3,473.64/x
  3. Step 3: Cross multiply
    5,238.36x = 7,232.64 × 3,473.64
  4. Step 4: Simplify right side
    5,238.36x = 25,123,587.61
  5. Step 5: Solve for x
    x = 25,123,587.61/5,238.36
  6. Step 6: Final answer
    x = 4,796.08

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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.