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Finding the Fourth Proportional to 5,236.48, 7,232.64 and 4,546.48

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Solution

The fourth proportional to 5,236.48, 7,232.64 and 4,546.48 is: 6,279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.48 : 7,232.64 = 4,546.48 : x
  2. Step 2: Convert to fraction form
    5,236.48/7,232.64 = 4,546.48/x
  3. Step 3: Cross multiply
    5,236.48x = 7,232.64 × 4,546.48
  4. Step 4: Simplify right side
    5,236.48x = 32,883,053.11
  5. Step 5: Solve for x
    x = 32,883,053.11/5,236.48
  6. Step 6: Final answer
    x = 6,279.61

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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.