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Finding the Fourth Proportional to 5,208.64, 7,187.91 and 2,850.76

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Solution

The fourth proportional to 5,208.64, 7,187.91 and 2,850.76 is: 3,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.64 : 7,187.91 = 2,850.76 : x
  2. Step 2: Convert to fraction form
    5,208.64/7,187.91 = 2,850.76/x
  3. Step 3: Cross multiply
    5,208.64x = 7,187.91 × 2,850.76
  4. Step 4: Simplify right side
    5,208.64x = 20,491,006.31
  5. Step 5: Solve for x
    x = 20,491,006.31/5,208.64
  6. Step 6: Final answer
    x = 3,934.04

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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.