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Finding the Fourth Proportional to 5,099.76, 7,649.74 and 2,178.09

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Solution

The fourth proportional to 5,099.76, 7,649.74 and 2,178.09 is: 3,267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.76 : 7,649.74 = 2,178.09 : x
  2. Step 2: Convert to fraction form
    5,099.76/7,649.74 = 2,178.09/x
  3. Step 3: Cross multiply
    5,099.76x = 7,649.74 × 2,178.09
  4. Step 4: Simplify right side
    5,099.76x = 16,661,824.92
  5. Step 5: Solve for x
    x = 16,661,824.92/5,099.76
  6. Step 6: Final answer
    x = 3,267.18

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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.