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Finding the Fourth Proportional to 3,964.42, 5,470.44 and 2,285.81

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Solution

The fourth proportional to 3,964.42, 5,470.44 and 2,285.81 is: 3,154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.42 : 5,470.44 = 2,285.81 : x
  2. Step 2: Convert to fraction form
    3,964.42/5,470.44 = 2,285.81/x
  3. Step 3: Cross multiply
    3,964.42x = 5,470.44 × 2,285.81
  4. Step 4: Simplify right side
    3,964.42x = 12,504,363.35
  5. Step 5: Solve for x
    x = 12,504,363.35/3,964.42
  6. Step 6: Final answer
    x = 3,154.15

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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.