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Finding the Fourth Proportional to 4,096.44, 5,680.38 and 3,957.90

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Solution

The fourth proportional to 4,096.44, 5,680.38 and 3,957.90 is: 5,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.44 : 5,680.38 = 3,957.90 : x
  2. Step 2: Convert to fraction form
    4,096.44/5,680.38 = 3,957.90/x
  3. Step 3: Cross multiply
    4,096.44x = 5,680.38 × 3,957.90
  4. Step 4: Simplify right side
    4,096.44x = 22,482,376.00
  5. Step 5: Solve for x
    x = 22,482,376.00/4,096.44
  6. Step 6: Final answer
    x = 5,488.27

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.