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Finding the Fourth Proportional to 3,706.12, 5,116.02 and 2,309.56

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Solution

The fourth proportional to 3,706.12, 5,116.02 and 2,309.56 is: 3,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.12 : 5,116.02 = 2,309.56 : x
  2. Step 2: Convert to fraction form
    3,706.12/5,116.02 = 2,309.56/x
  3. Step 3: Cross multiply
    3,706.12x = 5,116.02 × 2,309.56
  4. Step 4: Simplify right side
    3,706.12x = 11,815,755.15
  5. Step 5: Solve for x
    x = 11,815,755.15/3,706.12
  6. Step 6: Final answer
    x = 3,188.17

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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.