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Finding the Fourth Proportional to 3,420.70, 5,127.63 and 1,571.02

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Solution

The fourth proportional to 3,420.70, 5,127.63 and 1,571.02 is: 2,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.70 : 5,127.63 = 1,571.02 : x
  2. Step 2: Convert to fraction form
    3,420.70/5,127.63 = 1,571.02/x
  3. Step 3: Cross multiply
    3,420.70x = 5,127.63 × 1,571.02
  4. Step 4: Simplify right side
    3,420.70x = 8,055,609.28
  5. Step 5: Solve for x
    x = 8,055,609.28/3,420.70
  6. Step 6: Final answer
    x = 2,354.96

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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.