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Finding the Fourth Proportional to 5,097.99, 7,643.87 and 4,662.91

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Solution

The fourth proportional to 5,097.99, 7,643.87 and 4,662.91 is: 6,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.99 : 7,643.87 = 4,662.91 : x
  2. Step 2: Convert to fraction form
    5,097.99/7,643.87 = 4,662.91/x
  3. Step 3: Cross multiply
    5,097.99x = 7,643.87 × 4,662.91
  4. Step 4: Simplify right side
    5,097.99x = 35,642,660.09
  5. Step 5: Solve for x
    x = 35,642,660.09/5,097.99
  6. Step 6: Final answer
    x = 6,991.51

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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.