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Finding the Fourth Proportional to 3,832.94, 5,749.43 and 2,534.11

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Solution

The fourth proportional to 3,832.94, 5,749.43 and 2,534.11 is: 3,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.94 : 5,749.43 = 2,534.11 : x
  2. Step 2: Convert to fraction form
    3,832.94/5,749.43 = 2,534.11/x
  3. Step 3: Cross multiply
    3,832.94x = 5,749.43 × 2,534.11
  4. Step 4: Simplify right side
    3,832.94x = 14,569,661.01
  5. Step 5: Solve for x
    x = 14,569,661.01/3,832.94
  6. Step 6: Final answer
    x = 3,801.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.