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Finding the Fourth Proportional to 4,780.62, 7,174.62 and 2,147.16

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Solution

The fourth proportional to 4,780.62, 7,174.62 and 2,147.16 is: 3,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.62 : 7,174.62 = 2,147.16 : x
  2. Step 2: Convert to fraction form
    4,780.62/7,174.62 = 2,147.16/x
  3. Step 3: Cross multiply
    4,780.62x = 7,174.62 × 2,147.16
  4. Step 4: Simplify right side
    4,780.62x = 15,405,057.08
  5. Step 5: Solve for x
    x = 15,405,057.08/4,780.62
  6. Step 6: Final answer
    x = 3,222.40

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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.