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Finding the Fourth Proportional to 3,580.70, 5,372.42 and 2,022.47

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Solution

The fourth proportional to 3,580.70, 5,372.42 and 2,022.47 is: 3,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.70 : 5,372.42 = 2,022.47 : x
  2. Step 2: Convert to fraction form
    3,580.70/5,372.42 = 2,022.47/x
  3. Step 3: Cross multiply
    3,580.70x = 5,372.42 × 2,022.47
  4. Step 4: Simplify right side
    3,580.70x = 10,865,521.30
  5. Step 5: Solve for x
    x = 10,865,521.30/3,580.70
  6. Step 6: Final answer
    x = 3,034.47

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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.