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Finding the Fourth Proportional to 4,808.62, 7,211.16 and 2,467.84

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Solution

The fourth proportional to 4,808.62, 7,211.16 and 2,467.84 is: 3,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.62 : 7,211.16 = 2,467.84 : x
  2. Step 2: Convert to fraction form
    4,808.62/7,211.16 = 2,467.84/x
  3. Step 3: Cross multiply
    4,808.62x = 7,211.16 × 2,467.84
  4. Step 4: Simplify right side
    4,808.62x = 17,795,989.09
  5. Step 5: Solve for x
    x = 17,795,989.09/4,808.62
  6. Step 6: Final answer
    x = 3,700.85

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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.