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Finding the Fourth Proportional to 3,484.62, 4,809.69 and 2,157.54

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Solution

The fourth proportional to 3,484.62, 4,809.69 and 2,157.54 is: 2,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.62 : 4,809.69 = 2,157.54 : x
  2. Step 2: Convert to fraction form
    3,484.62/4,809.69 = 2,157.54/x
  3. Step 3: Cross multiply
    3,484.62x = 4,809.69 × 2,157.54
  4. Step 4: Simplify right side
    3,484.62x = 10,377,098.56
  5. Step 5: Solve for x
    x = 10,377,098.56/3,484.62
  6. Step 6: Final answer
    x = 2,977.97

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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.