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Finding the Fourth Proportional to 2,965.87, 4,096.74 and 2,708.29

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Solution

The fourth proportional to 2,965.87, 4,096.74 and 2,708.29 is: 3,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.87 : 4,096.74 = 2,708.29 : x
  2. Step 2: Convert to fraction form
    2,965.87/4,096.74 = 2,708.29/x
  3. Step 3: Cross multiply
    2,965.87x = 4,096.74 × 2,708.29
  4. Step 4: Simplify right side
    2,965.87x = 11,095,159.97
  5. Step 5: Solve for x
    x = 11,095,159.97/2,965.87
  6. Step 6: Final answer
    x = 3,740.95

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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.