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Finding the Fourth Proportional to 4,666.62, 6,997.50 and 2,200.78

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Solution

The fourth proportional to 4,666.62, 6,997.50 and 2,200.78 is: 3,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.62 : 6,997.50 = 2,200.78 : x
  2. Step 2: Convert to fraction form
    4,666.62/6,997.50 = 2,200.78/x
  3. Step 3: Cross multiply
    4,666.62x = 6,997.50 × 2,200.78
  4. Step 4: Simplify right side
    4,666.62x = 15,399,950.21
  5. Step 5: Solve for x
    x = 15,399,950.21/4,666.62
  6. Step 6: Final answer
    x = 3,300.02

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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.