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Finding the Fourth Proportional to 4,833.36, 7,249.95 and 1,546.46

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Solution

The fourth proportional to 4,833.36, 7,249.95 and 1,546.46 is: 2,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.36 : 7,249.95 = 1,546.46 : x
  2. Step 2: Convert to fraction form
    4,833.36/7,249.95 = 1,546.46/x
  3. Step 3: Cross multiply
    4,833.36x = 7,249.95 × 1,546.46
  4. Step 4: Simplify right side
    4,833.36x = 11,211,757.68
  5. Step 5: Solve for x
    x = 11,211,757.68/4,833.36
  6. Step 6: Final answer
    x = 2,319.66

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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.