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Finding the Fourth Proportional to 4,099.07, 6,142.96 and 1,872.48

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Solution

The fourth proportional to 4,099.07, 6,142.96 and 1,872.48 is: 2,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.07 : 6,142.96 = 1,872.48 : x
  2. Step 2: Convert to fraction form
    4,099.07/6,142.96 = 1,872.48/x
  3. Step 3: Cross multiply
    4,099.07x = 6,142.96 × 1,872.48
  4. Step 4: Simplify right side
    4,099.07x = 11,502,584.58
  5. Step 5: Solve for x
    x = 11,502,584.58/4,099.07
  6. Step 6: Final answer
    x = 2,806.14

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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.