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Finding the Fourth Proportional to 5,716.41, 7,871.11 and 5,004.27

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Solution

The fourth proportional to 5,716.41, 7,871.11 and 5,004.27 is: 6,890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.41 : 7,871.11 = 5,004.27 : x
  2. Step 2: Convert to fraction form
    5,716.41/7,871.11 = 5,004.27/x
  3. Step 3: Cross multiply
    5,716.41x = 7,871.11 × 5,004.27
  4. Step 4: Simplify right side
    5,716.41x = 39,389,159.64
  5. Step 5: Solve for x
    x = 39,389,159.64/5,716.41
  6. Step 6: Final answer
    x = 6,890.54

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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.