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Finding the Fourth Proportional to 2,704.73, 3,732.89 and 1,586.12

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Solution

The fourth proportional to 2,704.73, 3,732.89 and 1,586.12 is: 2,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.73 : 3,732.89 = 1,586.12 : x
  2. Step 2: Convert to fraction form
    2,704.73/3,732.89 = 1,586.12/x
  3. Step 3: Cross multiply
    2,704.73x = 3,732.89 × 1,586.12
  4. Step 4: Simplify right side
    2,704.73x = 5,920,784.89
  5. Step 5: Solve for x
    x = 5,920,784.89/2,704.73
  6. Step 6: Final answer
    x = 2,189.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.