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Finding the Fourth Proportional to 5,200.32, 7,175.20 and 3,104

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Solution

The fourth proportional to 5,200.32, 7,175.20 and 3,104 is: 4,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.32 : 7,175.20 = 3,104 : x
  2. Step 2: Convert to fraction form
    5,200.32/7,175.20 = 3,104/x
  3. Step 3: Cross multiply
    5,200.32x = 7,175.20 × 3,104
  4. Step 4: Simplify right side
    5,200.32x = 22,271,820.80
  5. Step 5: Solve for x
    x = 22,271,820.80/5,200.32
  6. Step 6: Final answer
    x = 4,282.78

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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.