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Finding the Fourth Proportional to 5,221.92, 7,832.88 and 3,045.84

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Solution

The fourth proportional to 5,221.92, 7,832.88 and 3,045.84 is: 4,568.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.92 : 7,832.88 = 3,045.84 : x
  2. Step 2: Convert to fraction form
    5,221.92/7,832.88 = 3,045.84/x
  3. Step 3: Cross multiply
    5,221.92x = 7,832.88 × 3,045.84
  4. Step 4: Simplify right side
    5,221.92x = 23,857,699.22
  5. Step 5: Solve for x
    x = 23,857,699.22/5,221.92
  6. Step 6: Final answer
    x = 4,568.76

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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.