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Finding the Fourth Proportional to 3,777.01, 5,214.17 and 2,361.49

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Solution

The fourth proportional to 3,777.01, 5,214.17 and 2,361.49 is: 3,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.01 : 5,214.17 = 2,361.49 : x
  2. Step 2: Convert to fraction form
    3,777.01/5,214.17 = 2,361.49/x
  3. Step 3: Cross multiply
    3,777.01x = 5,214.17 × 2,361.49
  4. Step 4: Simplify right side
    3,777.01x = 12,313,210.31
  5. Step 5: Solve for x
    x = 12,313,210.31/3,777.01
  6. Step 6: Final answer
    x = 3,260.04

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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.