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Finding the Fourth Proportional to 3,734.64, 5,153.76 and 2,162.88

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Solution

The fourth proportional to 3,734.64, 5,153.76 and 2,162.88 is: 2,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.64 : 5,153.76 = 2,162.88 : x
  2. Step 2: Convert to fraction form
    3,734.64/5,153.76 = 2,162.88/x
  3. Step 3: Cross multiply
    3,734.64x = 5,153.76 × 2,162.88
  4. Step 4: Simplify right side
    3,734.64x = 11,146,964.43
  5. Step 5: Solve for x
    x = 11,146,964.43/3,734.64
  6. Step 6: Final answer
    x = 2,984.75

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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.