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Finding the Fourth Proportional to 5,174.70, 7,142.09 and 3,406.20

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Solution

The fourth proportional to 5,174.70, 7,142.09 and 3,406.20 is: 4,701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.70 : 7,142.09 = 3,406.20 : x
  2. Step 2: Convert to fraction form
    5,174.70/7,142.09 = 3,406.20/x
  3. Step 3: Cross multiply
    5,174.70x = 7,142.09 × 3,406.20
  4. Step 4: Simplify right side
    5,174.70x = 24,327,386.96
  5. Step 5: Solve for x
    x = 24,327,386.96/5,174.70
  6. Step 6: Final answer
    x = 4,701.22

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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.