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Finding the Fourth Proportional to 3,782.64, 5,671.74 and 1,149.36

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Solution

The fourth proportional to 3,782.64, 5,671.74 and 1,149.36 is: 1,723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.64 : 5,671.74 = 1,149.36 : x
  2. Step 2: Convert to fraction form
    3,782.64/5,671.74 = 1,149.36/x
  3. Step 3: Cross multiply
    3,782.64x = 5,671.74 × 1,149.36
  4. Step 4: Simplify right side
    3,782.64x = 6,518,871.09
  5. Step 5: Solve for x
    x = 6,518,871.09/3,782.64
  6. Step 6: Final answer
    x = 1,723.37

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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.