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Finding the Fourth Proportional to 3,704.94, 5,113.40 and 2,380.05

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Solution

The fourth proportional to 3,704.94, 5,113.40 and 2,380.05 is: 3,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.94 : 5,113.40 = 2,380.05 : x
  2. Step 2: Convert to fraction form
    3,704.94/5,113.40 = 2,380.05/x
  3. Step 3: Cross multiply
    3,704.94x = 5,113.40 × 2,380.05
  4. Step 4: Simplify right side
    3,704.94x = 12,170,135.77
  5. Step 5: Solve for x
    x = 12,170,135.77/3,704.94
  6. Step 6: Final answer
    x = 3,284.84

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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.