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Finding the Fourth Proportional to 5,171.96, 7,137.10 and 2,814.11

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Solution

The fourth proportional to 5,171.96, 7,137.10 and 2,814.11 is: 3,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.96 : 7,137.10 = 2,814.11 : x
  2. Step 2: Convert to fraction form
    5,171.96/7,137.10 = 2,814.11/x
  3. Step 3: Cross multiply
    5,171.96x = 7,137.10 × 2,814.11
  4. Step 4: Simplify right side
    5,171.96x = 20,084,534.72
  5. Step 5: Solve for x
    x = 20,084,534.72/5,171.96
  6. Step 6: Final answer
    x = 3,883.35

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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.