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Finding the Fourth Proportional to 3,810.35, 5,716.16 and 1,311.44

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Solution

The fourth proportional to 3,810.35, 5,716.16 and 1,311.44 is: 1,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.35 : 5,716.16 = 1,311.44 : x
  2. Step 2: Convert to fraction form
    3,810.35/5,716.16 = 1,311.44/x
  3. Step 3: Cross multiply
    3,810.35x = 5,716.16 × 1,311.44
  4. Step 4: Simplify right side
    3,810.35x = 7,496,400.87
  5. Step 5: Solve for x
    x = 7,496,400.87/3,810.35
  6. Step 6: Final answer
    x = 1,967.38

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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.