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Finding the Fourth Proportional to 3,704.64, 5,111.90 and 2,380.14

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Solution

The fourth proportional to 3,704.64, 5,111.90 and 2,380.14 is: 3,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.64 : 5,111.90 = 2,380.14 : x
  2. Step 2: Convert to fraction form
    3,704.64/5,111.90 = 2,380.14/x
  3. Step 3: Cross multiply
    3,704.64x = 5,111.90 × 2,380.14
  4. Step 4: Simplify right side
    3,704.64x = 12,167,037.67
  5. Step 5: Solve for x
    x = 12,167,037.67/3,704.64
  6. Step 6: Final answer
    x = 3,284.27

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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.