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Finding the Fourth Proportional to 3,803.56, 5,704.35 and 1,611.16

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Solution

The fourth proportional to 3,803.56, 5,704.35 and 1,611.16 is: 2,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.56 : 5,704.35 = 1,611.16 : x
  2. Step 2: Convert to fraction form
    3,803.56/5,704.35 = 1,611.16/x
  3. Step 3: Cross multiply
    3,803.56x = 5,704.35 × 1,611.16
  4. Step 4: Simplify right side
    3,803.56x = 9,190,620.55
  5. Step 5: Solve for x
    x = 9,190,620.55/3,803.56
  6. Step 6: Final answer
    x = 2,416.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.