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Finding the Fourth Proportional to 3,596.41, 4,961.89 and 2,024.20

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Solution

The fourth proportional to 3,596.41, 4,961.89 and 2,024.20 is: 2,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.41 : 4,961.89 = 2,024.20 : x
  2. Step 2: Convert to fraction form
    3,596.41/4,961.89 = 2,024.20/x
  3. Step 3: Cross multiply
    3,596.41x = 4,961.89 × 2,024.20
  4. Step 4: Simplify right side
    3,596.41x = 10,043,857.74
  5. Step 5: Solve for x
    x = 10,043,857.74/3,596.41
  6. Step 6: Final answer
    x = 2,792.75

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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.