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Finding the Fourth Proportional to 5,171.77, 7,137.03 and 2,813.90

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Solution

The fourth proportional to 5,171.77, 7,137.03 and 2,813.90 is: 3,883.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.77 : 7,137.03 = 2,813.90 : x
  2. Step 2: Convert to fraction form
    5,171.77/7,137.03 = 2,813.90/x
  3. Step 3: Cross multiply
    5,171.77x = 7,137.03 × 2,813.90
  4. Step 4: Simplify right side
    5,171.77x = 20,082,853.03
  5. Step 5: Solve for x
    x = 20,082,853.03/5,171.77
  6. Step 6: Final answer
    x = 3,883.17

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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.