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Finding the Fourth Proportional to 3,874.21, 5,807.59 and 1,240.27

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Solution

The fourth proportional to 3,874.21, 5,807.59 and 1,240.27 is: 1,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.21 : 5,807.59 = 1,240.27 : x
  2. Step 2: Convert to fraction form
    3,874.21/5,807.59 = 1,240.27/x
  3. Step 3: Cross multiply
    3,874.21x = 5,807.59 × 1,240.27
  4. Step 4: Simplify right side
    3,874.21x = 7,202,962.03
  5. Step 5: Solve for x
    x = 7,202,962.03/3,874.21
  6. Step 6: Final answer
    x = 1,859.21

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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.