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Finding the Fourth Proportional to 4,938.89, 7,411.25 and 1,821.09

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Solution

The fourth proportional to 4,938.89, 7,411.25 and 1,821.09 is: 2,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.89 : 7,411.25 = 1,821.09 : x
  2. Step 2: Convert to fraction form
    4,938.89/7,411.25 = 1,821.09/x
  3. Step 3: Cross multiply
    4,938.89x = 7,411.25 × 1,821.09
  4. Step 4: Simplify right side
    4,938.89x = 13,496,544.16
  5. Step 5: Solve for x
    x = 13,496,544.16/4,938.89
  6. Step 6: Final answer
    x = 2,732.71

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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.