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Finding the Fourth Proportional to 5,208.73, 7,188.12 and 2,850.86

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Solution

The fourth proportional to 5,208.73, 7,188.12 and 2,850.86 is: 3,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.73 : 7,188.12 = 2,850.86 : x
  2. Step 2: Convert to fraction form
    5,208.73/7,188.12 = 2,850.86/x
  3. Step 3: Cross multiply
    5,208.73x = 7,188.12 × 2,850.86
  4. Step 4: Simplify right side
    5,208.73x = 20,492,341.75
  5. Step 5: Solve for x
    x = 20,492,341.75/5,208.73
  6. Step 6: Final answer
    x = 3,934.23

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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.