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Finding the Fourth Proportional to 5,261.80, 7,898.22 and 3,187

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Solution

The fourth proportional to 5,261.80, 7,898.22 and 3,187 is: 4,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.80 : 7,898.22 = 3,187 : x
  2. Step 2: Convert to fraction form
    5,261.80/7,898.22 = 3,187/x
  3. Step 3: Cross multiply
    5,261.80x = 7,898.22 × 3,187
  4. Step 4: Simplify right side
    5,261.80x = 25,171,627.14
  5. Step 5: Solve for x
    x = 25,171,627.14/5,261.80
  6. Step 6: Final answer
    x = 4,783.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.