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Finding the Fourth Proportional to 3,734.70, 5,154 and 2,056.16

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Solution

The fourth proportional to 3,734.70, 5,154 and 2,056.16 is: 2,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.70 : 5,154 = 2,056.16 : x
  2. Step 2: Convert to fraction form
    3,734.70/5,154 = 2,056.16/x
  3. Step 3: Cross multiply
    3,734.70x = 5,154 × 2,056.16
  4. Step 4: Simplify right side
    3,734.70x = 10,597,448.64
  5. Step 5: Solve for x
    x = 10,597,448.64/3,734.70
  6. Step 6: Final answer
    x = 2,837.56

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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.