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Finding the Fourth Proportional to 3,420.28, 5,129.07 and 1,571.05

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Solution

The fourth proportional to 3,420.28, 5,129.07 and 1,571.05 is: 2,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.28 : 5,129.07 = 1,571.05 : x
  2. Step 2: Convert to fraction form
    3,420.28/5,129.07 = 1,571.05/x
  3. Step 3: Cross multiply
    3,420.28x = 5,129.07 × 1,571.05
  4. Step 4: Simplify right side
    3,420.28x = 8,058,025.42
  5. Step 5: Solve for x
    x = 8,058,025.42/3,420.28
  6. Step 6: Final answer
    x = 2,355.95

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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.