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Finding the Fourth Proportional to 5,167.71, 7,131.42 and 2,809.89

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Solution

The fourth proportional to 5,167.71, 7,131.42 and 2,809.89 is: 3,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.71 : 7,131.42 = 2,809.89 : x
  2. Step 2: Convert to fraction form
    5,167.71/7,131.42 = 2,809.89/x
  3. Step 3: Cross multiply
    5,167.71x = 7,131.42 × 2,809.89
  4. Step 4: Simplify right side
    5,167.71x = 20,038,505.74
  5. Step 5: Solve for x
    x = 20,038,505.74/5,167.71
  6. Step 6: Final answer
    x = 3,877.64

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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.