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Finding the Fourth Proportional to 5,369.70, 7,410.70 and 3,131.40

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Solution

The fourth proportional to 5,369.70, 7,410.70 and 3,131.40 is: 4,321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.70 : 7,410.70 = 3,131.40 : x
  2. Step 2: Convert to fraction form
    5,369.70/7,410.70 = 3,131.40/x
  3. Step 3: Cross multiply
    5,369.70x = 7,410.70 × 3,131.40
  4. Step 4: Simplify right side
    5,369.70x = 23,205,865.98
  5. Step 5: Solve for x
    x = 23,205,865.98/5,369.70
  6. Step 6: Final answer
    x = 4,321.63

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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.