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Finding the Fourth Proportional to 3,817.85, 5,270.51 and 2,914.18

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Solution

The fourth proportional to 3,817.85, 5,270.51 and 2,914.18 is: 4,023.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.85 : 5,270.51 = 2,914.18 : x
  2. Step 2: Convert to fraction form
    3,817.85/5,270.51 = 2,914.18/x
  3. Step 3: Cross multiply
    3,817.85x = 5,270.51 × 2,914.18
  4. Step 4: Simplify right side
    3,817.85x = 15,359,208.94
  5. Step 5: Solve for x
    x = 15,359,208.94/3,817.85
  6. Step 6: Final answer
    x = 4,023.00

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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.