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Finding the Fourth Proportional to 5,074.62, 7,613.16 and 1,611.88

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Solution

The fourth proportional to 5,074.62, 7,613.16 and 1,611.88 is: 2,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.62 : 7,613.16 = 1,611.88 : x
  2. Step 2: Convert to fraction form
    5,074.62/7,613.16 = 1,611.88/x
  3. Step 3: Cross multiply
    5,074.62x = 7,613.16 × 1,611.88
  4. Step 4: Simplify right side
    5,074.62x = 12,271,500.34
  5. Step 5: Solve for x
    x = 12,271,500.34/5,074.62
  6. Step 6: Final answer
    x = 2,418.21

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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.