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Finding the Fourth Proportional to 3,801.05, 5,701.97 and 1,027.74

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Solution

The fourth proportional to 3,801.05, 5,701.97 and 1,027.74 is: 1,541.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.05 : 5,701.97 = 1,027.74 : x
  2. Step 2: Convert to fraction form
    3,801.05/5,701.97 = 1,027.74/x
  3. Step 3: Cross multiply
    3,801.05x = 5,701.97 × 1,027.74
  4. Step 4: Simplify right side
    3,801.05x = 5,860,142.65
  5. Step 5: Solve for x
    x = 5,860,142.65/3,801.05
  6. Step 6: Final answer
    x = 1,541.72

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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.