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Finding the Fourth Proportional to 3,601.63, 5,402.43 and 2,140.42

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Solution

The fourth proportional to 3,601.63, 5,402.43 and 2,140.42 is: 3,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.63 : 5,402.43 = 2,140.42 : x
  2. Step 2: Convert to fraction form
    3,601.63/5,402.43 = 2,140.42/x
  3. Step 3: Cross multiply
    3,601.63x = 5,402.43 × 2,140.42
  4. Step 4: Simplify right side
    3,601.63x = 11,563,469.22
  5. Step 5: Solve for x
    x = 11,563,469.22/3,601.63
  6. Step 6: Final answer
    x = 3,210.62

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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.