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Finding the Fourth Proportional to 3,898.04, 5,380.12 and 2,571.92

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Solution

The fourth proportional to 3,898.04, 5,380.12 and 2,571.92 is: 3,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.04 : 5,380.12 = 2,571.92 : x
  2. Step 2: Convert to fraction form
    3,898.04/5,380.12 = 2,571.92/x
  3. Step 3: Cross multiply
    3,898.04x = 5,380.12 × 2,571.92
  4. Step 4: Simplify right side
    3,898.04x = 13,837,238.23
  5. Step 5: Solve for x
    x = 13,837,238.23/3,898.04
  6. Step 6: Final answer
    x = 3,549.79

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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.