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Finding the Fourth Proportional to 5,910.40, 8,154.88 and 3,812

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Solution

The fourth proportional to 5,910.40, 8,154.88 and 3,812 is: 5,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910.40 : 8,154.88 = 3,812 : x
  2. Step 2: Convert to fraction form
    5,910.40/8,154.88 = 3,812/x
  3. Step 3: Cross multiply
    5,910.40x = 8,154.88 × 3,812
  4. Step 4: Simplify right side
    5,910.40x = 31,086,402.56
  5. Step 5: Solve for x
    x = 31,086,402.56/5,910.40
  6. Step 6: Final answer
    x = 5,259.61

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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.