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Finding the Fourth Proportional to 5,208.75, 7,188.14 and 2,850.84

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Solution

The fourth proportional to 5,208.75, 7,188.14 and 2,850.84 is: 3,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.75 : 7,188.14 = 2,850.84 : x
  2. Step 2: Convert to fraction form
    5,208.75/7,188.14 = 2,850.84/x
  3. Step 3: Cross multiply
    5,208.75x = 7,188.14 × 2,850.84
  4. Step 4: Simplify right side
    5,208.75x = 20,492,244.16
  5. Step 5: Solve for x
    x = 20,492,244.16/5,208.75
  6. Step 6: Final answer
    x = 3,934.20

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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.