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Finding the Fourth Proportional to 4,821.30, 7,238.16 and 3,884.82

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Solution

The fourth proportional to 4,821.30, 7,238.16 and 3,884.82 is: 5,832.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.30 : 7,238.16 = 3,884.82 : x
  2. Step 2: Convert to fraction form
    4,821.30/7,238.16 = 3,884.82/x
  3. Step 3: Cross multiply
    4,821.30x = 7,238.16 × 3,884.82
  4. Step 4: Simplify right side
    4,821.30x = 28,118,948.73
  5. Step 5: Solve for x
    x = 28,118,948.73/4,821.30
  6. Step 6: Final answer
    x = 5,832.23

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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.