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Finding the Fourth Proportional to 3,801.26, 5,701.88 and 1,027.93

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Solution

The fourth proportional to 3,801.26, 5,701.88 and 1,027.93 is: 1,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.26 : 5,701.88 = 1,027.93 : x
  2. Step 2: Convert to fraction form
    3,801.26/5,701.88 = 1,027.93/x
  3. Step 3: Cross multiply
    3,801.26x = 5,701.88 × 1,027.93
  4. Step 4: Simplify right side
    3,801.26x = 5,861,102.43
  5. Step 5: Solve for x
    x = 5,861,102.43/3,801.26
  6. Step 6: Final answer
    x = 1,541.88

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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.