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Finding the Fourth Proportional to 4,822.56, 7,235.33 and 2,049.17

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Solution

The fourth proportional to 4,822.56, 7,235.33 and 2,049.17 is: 3,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.56 : 7,235.33 = 2,049.17 : x
  2. Step 2: Convert to fraction form
    4,822.56/7,235.33 = 2,049.17/x
  3. Step 3: Cross multiply
    4,822.56x = 7,235.33 × 2,049.17
  4. Step 4: Simplify right side
    4,822.56x = 14,826,435.80
  5. Step 5: Solve for x
    x = 14,826,435.80/4,822.56
  6. Step 6: Final answer
    x = 3,074.39

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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.