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Finding the Fourth Proportional to 5,086.60, 7,630.00 and 2,311.34

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Solution

The fourth proportional to 5,086.60, 7,630.00 and 2,311.34 is: 3,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.60 : 7,630.00 = 2,311.34 : x
  2. Step 2: Convert to fraction form
    5,086.60/7,630.00 = 2,311.34/x
  3. Step 3: Cross multiply
    5,086.60x = 7,630.00 × 2,311.34
  4. Step 4: Simplify right side
    5,086.60x = 17,635,480.27
  5. Step 5: Solve for x
    x = 17,635,480.27/5,086.60
  6. Step 6: Final answer
    x = 3,467.05

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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.