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Finding the Fourth Proportional to 4,865.69, 6,716.87 and 3,099.69

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Solution

The fourth proportional to 4,865.69, 6,716.87 and 3,099.69 is: 4,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.69 : 6,716.87 = 3,099.69 : x
  2. Step 2: Convert to fraction form
    4,865.69/6,716.87 = 3,099.69/x
  3. Step 3: Cross multiply
    4,865.69x = 6,716.87 × 3,099.69
  4. Step 4: Simplify right side
    4,865.69x = 20,820,199.27
  5. Step 5: Solve for x
    x = 20,820,199.27/4,865.69
  6. Step 6: Final answer
    x = 4,278.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.