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Finding the Fourth Proportional to 3,802.75, 5,704.08 and 1,611.16

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Solution

The fourth proportional to 3,802.75, 5,704.08 and 1,611.16 is: 2,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.75 : 5,704.08 = 1,611.16 : x
  2. Step 2: Convert to fraction form
    3,802.75/5,704.08 = 1,611.16/x
  3. Step 3: Cross multiply
    3,802.75x = 5,704.08 × 1,611.16
  4. Step 4: Simplify right side
    3,802.75x = 9,190,185.53
  5. Step 5: Solve for x
    x = 9,190,185.53/3,802.75
  6. Step 6: Final answer
    x = 2,416.72

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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.