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Finding the Fourth Proportional to 4,822.08, 7,233.20 and 1,537.94

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Solution

The fourth proportional to 4,822.08, 7,233.20 and 1,537.94 is: 2,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.08 : 7,233.20 = 1,537.94 : x
  2. Step 2: Convert to fraction form
    4,822.08/7,233.20 = 1,537.94/x
  3. Step 3: Cross multiply
    4,822.08x = 7,233.20 × 1,537.94
  4. Step 4: Simplify right side
    4,822.08x = 11,124,183.75
  5. Step 5: Solve for x
    x = 11,124,183.75/4,822.08
  6. Step 6: Final answer
    x = 2,306.93

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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.