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Finding the Fourth Proportional to 3,970.62, 5,471.91 and 3,873.42

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Solution

The fourth proportional to 3,970.62, 5,471.91 and 3,873.42 is: 5,337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.62 : 5,471.91 = 3,873.42 : x
  2. Step 2: Convert to fraction form
    3,970.62/5,471.91 = 3,873.42/x
  3. Step 3: Cross multiply
    3,970.62x = 5,471.91 × 3,873.42
  4. Step 4: Simplify right side
    3,970.62x = 21,195,005.63
  5. Step 5: Solve for x
    x = 21,195,005.63/3,970.62
  6. Step 6: Final answer
    x = 5,337.96

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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.