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Finding the Fourth Proportional to 3,734.66, 5,153.79 and 2,056.18

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Solution

The fourth proportional to 3,734.66, 5,153.79 and 2,056.18 is: 2,837.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.66 : 5,153.79 = 2,056.18 : x
  2. Step 2: Convert to fraction form
    3,734.66/5,153.79 = 2,056.18/x
  3. Step 3: Cross multiply
    3,734.66x = 5,153.79 × 2,056.18
  4. Step 4: Simplify right side
    3,734.66x = 10,597,119.92
  5. Step 5: Solve for x
    x = 10,597,119.92/3,734.66
  6. Step 6: Final answer
    x = 2,837.51

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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.