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Finding the Fourth Proportional to 4,662.14, 6,997.01 and 2,689.88

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Solution

The fourth proportional to 4,662.14, 6,997.01 and 2,689.88 is: 4,037.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.14 : 6,997.01 = 2,689.88 : x
  2. Step 2: Convert to fraction form
    4,662.14/6,997.01 = 2,689.88/x
  3. Step 3: Cross multiply
    4,662.14x = 6,997.01 × 2,689.88
  4. Step 4: Simplify right side
    4,662.14x = 18,821,068.82
  5. Step 5: Solve for x
    x = 18,821,068.82/4,662.14
  6. Step 6: Final answer
    x = 4,037.01

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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.