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Finding the Fourth Proportional to 3,627.63, 5,441.45 and 2,402.82

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Solution

The fourth proportional to 3,627.63, 5,441.45 and 2,402.82 is: 3,604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.63 : 5,441.45 = 2,402.82 : x
  2. Step 2: Convert to fraction form
    3,627.63/5,441.45 = 2,402.82/x
  3. Step 3: Cross multiply
    3,627.63x = 5,441.45 × 2,402.82
  4. Step 4: Simplify right side
    3,627.63x = 13,074,812.87
  5. Step 5: Solve for x
    x = 13,074,812.87/3,627.63
  6. Step 6: Final answer
    x = 3,604.23

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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.