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Finding the Fourth Proportional to 5,208.87, 7,188.16 and 2,851

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Solution

The fourth proportional to 5,208.87, 7,188.16 and 2,851 is: 3,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.87 : 7,188.16 = 2,851 : x
  2. Step 2: Convert to fraction form
    5,208.87/7,188.16 = 2,851/x
  3. Step 3: Cross multiply
    5,208.87x = 7,188.16 × 2,851
  4. Step 4: Simplify right side
    5,208.87x = 20,493,444.16
  5. Step 5: Solve for x
    x = 20,493,444.16/5,208.87
  6. Step 6: Final answer
    x = 3,934.34

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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.