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Finding the Fourth Proportional to 3,760.72, 5,638.04 and 1,571.08

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Solution

The fourth proportional to 3,760.72, 5,638.04 and 1,571.08 is: 2,355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.72 : 5,638.04 = 1,571.08 : x
  2. Step 2: Convert to fraction form
    3,760.72/5,638.04 = 1,571.08/x
  3. Step 3: Cross multiply
    3,760.72x = 5,638.04 × 1,571.08
  4. Step 4: Simplify right side
    3,760.72x = 8,857,811.88
  5. Step 5: Solve for x
    x = 8,857,811.88/3,760.72
  6. Step 6: Final answer
    x = 2,355.35

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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.