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Finding the Fourth Proportional to 3,484.62, 5,229.45 and 2,022.30

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Solution

The fourth proportional to 3,484.62, 5,229.45 and 2,022.30 is: 3,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.62 : 5,229.45 = 2,022.30 : x
  2. Step 2: Convert to fraction form
    3,484.62/5,229.45 = 2,022.30/x
  3. Step 3: Cross multiply
    3,484.62x = 5,229.45 × 2,022.30
  4. Step 4: Simplify right side
    3,484.62x = 10,575,516.74
  5. Step 5: Solve for x
    x = 10,575,516.74/3,484.62
  6. Step 6: Final answer
    x = 3,034.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.