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Finding the Fourth Proportional to 3,817.39, 5,720.62 and 2,170.46

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Solution

The fourth proportional to 3,817.39, 5,720.62 and 2,170.46 is: 3,252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.39 : 5,720.62 = 2,170.46 : x
  2. Step 2: Convert to fraction form
    3,817.39/5,720.62 = 2,170.46/x
  3. Step 3: Cross multiply
    3,817.39x = 5,720.62 × 2,170.46
  4. Step 4: Simplify right side
    3,817.39x = 12,416,337.43
  5. Step 5: Solve for x
    x = 12,416,337.43/3,817.39
  6. Step 6: Final answer
    x = 3,252.57

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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.