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Finding the Fourth Proportional to 5,167.80, 7,131.02 and 3,071.64

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Solution

The fourth proportional to 5,167.80, 7,131.02 and 3,071.64 is: 4,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.80 : 7,131.02 = 3,071.64 : x
  2. Step 2: Convert to fraction form
    5,167.80/7,131.02 = 3,071.64/x
  3. Step 3: Cross multiply
    5,167.80x = 7,131.02 × 3,071.64
  4. Step 4: Simplify right side
    5,167.80x = 21,903,926.27
  5. Step 5: Solve for x
    x = 21,903,926.27/5,167.80
  6. Step 6: Final answer
    x = 4,238.54

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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.