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Finding the Fourth Proportional to 5,167.66, 7,131.34 and 2,809.80

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Solution

The fourth proportional to 5,167.66, 7,131.34 and 2,809.80 is: 3,877.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.66 : 7,131.34 = 2,809.80 : x
  2. Step 2: Convert to fraction form
    5,167.66/7,131.34 = 2,809.80/x
  3. Step 3: Cross multiply
    5,167.66x = 7,131.34 × 2,809.80
  4. Step 4: Simplify right side
    5,167.66x = 20,037,639.13
  5. Step 5: Solve for x
    x = 20,037,639.13/5,167.66
  6. Step 6: Final answer
    x = 3,877.51

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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.