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Finding the Fourth Proportional to 3,785.64, 5,671.08 and 2,137.20

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Solution

The fourth proportional to 3,785.64, 5,671.08 and 2,137.20 is: 3,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.64 : 5,671.08 = 2,137.20 : x
  2. Step 2: Convert to fraction form
    3,785.64/5,671.08 = 2,137.20/x
  3. Step 3: Cross multiply
    3,785.64x = 5,671.08 × 2,137.20
  4. Step 4: Simplify right side
    3,785.64x = 12,120,232.18
  5. Step 5: Solve for x
    x = 12,120,232.18/3,785.64
  6. Step 6: Final answer
    x = 3,201.63

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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.