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Finding the Fourth Proportional to 4,832.86, 7,249.28 and 1,322.89

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Solution

The fourth proportional to 4,832.86, 7,249.28 and 1,322.89 is: 1,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.86 : 7,249.28 = 1,322.89 : x
  2. Step 2: Convert to fraction form
    4,832.86/7,249.28 = 1,322.89/x
  3. Step 3: Cross multiply
    4,832.86x = 7,249.28 × 1,322.89
  4. Step 4: Simplify right side
    4,832.86x = 9,590,033.69
  5. Step 5: Solve for x
    x = 9,590,033.69/4,832.86
  6. Step 6: Final answer
    x = 1,984.34

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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.