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Finding the Fourth Proportional to 3,716.37, 5,571.32 and 1,406.25

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Solution

The fourth proportional to 3,716.37, 5,571.32 and 1,406.25 is: 2,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.37 : 5,571.32 = 1,406.25 : x
  2. Step 2: Convert to fraction form
    3,716.37/5,571.32 = 1,406.25/x
  3. Step 3: Cross multiply
    3,716.37x = 5,571.32 × 1,406.25
  4. Step 4: Simplify right side
    3,716.37x = 7,834,661.72
  5. Step 5: Solve for x
    x = 7,834,661.72/3,716.37
  6. Step 6: Final answer
    x = 2,108.15

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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.